Saxon, Stephen A.

• 3732574
  Ka̧kol, Jerzy(PL-POZNM)
  Adam Mickiewicz University
  60-769 Poznań, Poland ; Saxon, Stephen A.(1-FL)

  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611
  Separable quotients for less-than-barrelled function spaces. (English summary)
  J. Math. Anal. Appl. 459 (2018), no. 2, 1102-1105.
  46A08
  
• 3684799
  Saxon, Stephen A.(1-FL)
  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Sánchez Ruiz, L. M.(E-VLNPDE-AM)

  Departamento de Matemática Aplicada, Polytechnical University of Valencia
  46022 Valencia, Spain
  Reinventing weak barrelledness. (English summary)
  J. Convex Anal. 24 (2017), no. 3, 707-762.
  46A08 (03E50 03E55 03E75)
  
• 3684799
  Saxon, Stephen A.(1-FL)
  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611 ; Sánchez Ruiz, L. M.(E-VLNPDE-AM)

  Departamento de Matemática Aplicada, Polytechnical University of Valencia
  46022 Valencia, Spain
  Reinventing weak barrelledness. (English summary)
  J. Convex Anal. 24 (2017), no. 3, 707-762.
  46A08 (03E50 03E55 03E75)
  
• 3665036
  Ka̧kol, Jerzy; Saxon, Stephen A.;
  Separable quotients in $C_c(X)$$C_c(X)$, $C_p(X)$$C_p(X)$, and their duals.
  Proc. Amer. Math. Soc. 145 (2017), no. 9, 3829-3841.
  46A08 (46A30 54C35)
  
• 3665036
  Ka̧kol, Jerzy; Saxon, Stephen A.;
  Separable quotients in $C_c(X)$$C_c(X)$, $C_p(X)$$C_p(X)$, and their duals.
  Proc. Amer. Math. Soc. 145 (2017), no. 9, 3829-3841.
  46A08 (46A30 54C35)
  
• 3404545
  Saxon, Stephen A.(1-FL)
  $(LF)$$(LF)$-spaces with more-than-separable quotients. (English summary)
  J. Math. Anal. Appl. 434 (2016), no. 1, 12-19.
  46B20
  
• 3404545
  Saxon, Stephen A.(1-FL)
  $(LF)$$(LF)$-spaces with more-than-separable quotients. (English summary)
  J. Math. Anal. Appl. 434 (2016), no. 1, 12-19.
  46B20
  
• 3238201
  Saxon, Stephen A.(1-FL)
  Weak barrelledness versus P-spaces. (English summary) Descriptive topology and functional analysis, 27-32,
  Springer Proc. Math. Stat., 80, Springer, Cham, 2014.
  46A08 (54C35)
  
• 3249992
  Saxon, Stephen A.(1-FL)
  Mackey hyperplanes/enlargements for Tweddle's space. (English summary)
  Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 108 (2014), no. 2, 1035-1054.
  46A08 (46A20)
  
• 3252012
  Kąkol, Jerzy(PL-POZNM); Saxon, Stephen A.(1-FL); Todd, Aaron R.(1-CUNY2)
  Barrelled spaces with(out) separable quotients. (English summary)
  Bull. Aust. Math. Soc. 90 (2014), no. 2, 295-303.
  46A08 (54C35)
  
• 3229067
  Ferrando, J. C.(E-UMH-COR); Kąkol, Jerzy(PL-POZNM); Saxon, Stephen A.(1-FL)
  The dual of the locally convex space $C_p(X)$$C_p(X)$. (English summary)
  Funct. Approx. Comment. Math. 50 (2014), no. 2, 389-399.
  46A08 (54C35)
  
• 2377082
  Ferrando, J. C.; K\c akol, J.(PL-POZNM); López Pellicer, M.(E-VLNP-AM); Saxon, S. A.(1-FL)
  Quasi-Suslin weak duals. (English summary)
  J. Math. Anal. Appl. 339 (2008), no. 2, 1253--1263.
  46A20
  
• 2265087
  Ferrando, J. C.; K\polhk akol, J.(PL-POZNM); López Pellicer, M.(E-VLNP-AM); Saxon, S. A.(1-FL)
  Tightness and distinguished Fréchet spaces. (English summary)
  J. Math. Anal. Appl. 324 (2006), no. 2, 862--881.
  46Axx
  
• 2097264
  K\lfhook akol, Jerzy(PL-POZNM); Saxon, Stephen A.(1-FL); Todd, Aaron R.(1-CUNY2)
  The analysis of Warner boundedness. (English. English summary)
  Proc. Edinb. Math. Soc. (2) 47 (2004), no. 3, 625--631.
  46A08 (46A30)
• 2088675
  K\polhk akol, Jerzy(1-CUNY2); Saxon, Stephen A.(1-FL); Todd, Aaron R.(1-CUNY2)
  Weak barrelledness for $C(X)$ spaces. (English. English summary)
  Special issue dedicated to John Horváth.
  J. Math. Anal. Appl. 297 (2004), no. 2, 495--505.
  46E10 (46A08)
• 2051131
  K\polhk akol, Jerzy(1-CUNY2); Saxon, Stephen A.(1-FL); Todd, Aaron R.(1-CUNY2)
  Pseudocompact spaces $X$ and $df$-spaces $C\sb c(X)$. (English. English summary)
  Proc. Amer. Math. Soc. 132 (2004), no. 6, 1703--1712 (electronic).
  46A08 (46E10 54C35)
• 2040017
  Kakol, Jerzy(1-CUNY2); Saxon, Stephen A.(1-FL); Todd, Aaron R.(1-CUNY2)
  Docile locally convex spaces. (English. English summary)
  Topological algebras and their applications, 73--78,
  Contemp. Math., 341,
  Amer. Math. Soc., Providence, RI, 2004.
  46A03 (03E10 46A08 46E10 54C35)
• 1997755
  K\polhk akol, Jerzy(PL-POZNM); Saxon, Stephen A.(1-FL)
  The Fréchet-Urysohn property, $(LM)$-spaces and the strongest locally convex topology. (English. English summary)
  Math. Proc. R. Ir. Acad. 103A (2003), no. 1, 1--8.
  46Axx
• 1991777
  Cascales, B.(E-MURC2M); K\c akol, J.(PL-POZNM); Saxon, S. A.(1-FL)
  Metrizability vs. Fréchet-Urysohn property. (English. English summary)
  Proc. Amer. Math. Soc. 131 (2003), no. 11, 3623--3631 (electronic).
  54D10 (46A50 54E15 54E35)
• 1961169
  Tweddle, Ian(4-STRA); Saxon, S. A.(1-FL)
  Bornological countable enlargements. (English. English summary)
  Proc. Edinb. Math. Soc. (2) 46 (2003), no. 1, 35--44.
  46A08 (46A20)
• 2232642
  K\c akol, Jerzy(PL-POZNM); Saxon, Stephen A.(1-FL)
  The Fréchet-Urysohn view of weak and $s$-barrelledness. (English. English summary)
  Bull. Belg. Math. Soc. Simon Stevin 9 (2002), suppl., 101--108.
  46Axx (54C35)
• 1920410
  K\polhk akol, Jerzy(PL-POZNM); Saxon, Stephen A.(1-FL)
  Montel (DF)-spaces, sequential (LM)-spaces and the strongest locally convex topology. (English. English summary)
  J. London Math. Soc. (2) 66 (2002), no. 2, 388--406.
  46A50 (46A04 46A08 46A11 46A13)
• 1915706
  Saxon, Stephen A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPTE-AM)
  Three-space weak barrelledness. (English. English summary)
  J. Math. Anal. Appl. 270 (2002), no. 2, 383--396.
  46A08 (46A03 46A17 46A20)
• 1907128
  Cascales, B.(E-MURC2M); K\c akol, J.(PL-POZNM); Saxon, S. A.(1-FL)
  Weight of precompact subsets and tightness. (English. English summary)
  J. Math. Anal. Appl. 269 (2002), no. 2, 500--518.
  54A25 (46A04 54C60)
• 1829781
  Saxon, Stephen A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPTE-AM)
  Metrizable weak barrelledness and dimension. (English. English summary)
  Bull. Polish Acad. Sci. Math. 49 (2001), no. 2, 97--101.
  46A08 (03E10)
• 1773194
  K\polhk akol, Jerzy(PL-POZNM); Saxon, Stephen A.(1-FL)
  The semi-Baire-like three-space problems. (English. English summary)
  Adv. in Appl. Math. 25 (2000), no. 1, 57--64.
  46A08
• 1711030
  Saxon, Stephen A.(1-FL)
  Metrizable barrelled countable enlargements. (English. English summary)
  Bull. London Math. Soc. 31 (1999), no. 6, 711--718.
  46A08
• 1704576
  Saxon, Stephen A.(1-FL); Tweddle, Ian(4-STRA)
  Mackey $\aleph\sb 0$-barrelled spaces. (English. English summary)
  Adv. Math. 145 (1999), no. 2, 230--238.
  46A08
• 1607875
  Sánchez Ruiz, L. M.(E-VLNPTE-AM); Saxon, S. A.(1-FL)
  Weak barrelledness conditions.
  Functional analysis with current applications in science, technology and industry (Aligarh, 1996), 20--36,
  Pitman Res. Notes Math. Ser., 377,
  Longman, Harlow, 1998.
  46A08
• 1458260
  Saxon, Stephen A.(1-FL); Sánchez Ruiz, L. M.(E-VLNP-AM)
  Mackey weak barrelledness. (English. English summary)
  Proc. Amer. Math. Soc. 126 (1998), no. 11, 3279--3282.
  46A08
• 1749791
  Saxon, Stephen A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPTE-AM); Tweddle, Ian(4-STRA)
  Countably enlarging weak barrelledness. (English. English summary)
  Proceedings of the Second International Workshop on Functional Analysis (Trier, 1997).
  Note Mat. 17 (1997), 217--233 (1999).
  46A08 (46A03)
• 1454029
  Saxon, Stephen A.(1-FL); Ruckle, William H.(1-CLEM)
  Reducing the classical multipliers $l\sp \infty,c\sb 0$ and $bv\sb 0$. (English. English summary)
  Proc. Edinburgh Math. Soc. (2) 40 (1997), no. 2, 345--352.
  46B45 (40H05 46A45)
• 1389535
  Saxon, Stephen A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPTE-AM)
  Dual local completeness. (English. English summary)
  Proc. Amer. Math. Soc. 125 (1997), no. 4, 1063--1070.
  46A30 (46A03)
• 1417123
  Saxon, S. A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPI-AM)
  Barrelled countable enlargements and the dominating cardinal. (English. English summary)
  J. Math. Anal. Appl. 203 (1996), no. 3, 677--685.
  46A08 (03E05 46A03)
• 1373960
  Saxon, S. A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPTE-AM)
  Quasidistinguished countable enlargements of normed spaces.
  Glasgow Math. J. 38 (1996), no. 1, 65--68.
  46A03 (46A17 46A20 46B99)
• 1362693
  Saxon, S. A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPTE-AM)
  Barrelled countable enlargements and the bounding cardinal. (English. English summary)
  J. London Math. Soc. (2) 53 (1996), no. 1, 158--166.
  46A08 (03E10)
• 1362698
  Saxon, Stephen A.(1-FL)
  Non-barrelled dense $\beta\phi$ subspaces. (English. English summary)
  J. Math. Anal. Appl. 196 (1995), no. 2, 428--441.
  46A45 (46A08)
• 1338730
  Ruckle, William H.(1-CLEM); Saxon, Stephen A.(1-FL)
  Generalized sectional convergence and multipliers. (English. English summary)
  J. Math. Anal. Appl. 193 (1995), no. 2, 680--705.
  46A45 (40J05)
• 1331447
  Saxon, Stephen A.(1-FL); Tweddle, Ian(4-STRA)
  The fit and flat components of barrelled spaces. (English. English summary)
  Bull. Austral. Math. Soc. 51 (1995), no. 3, 521--528.
  46A08 (03E65 46A30)
• 1310727
  Saxon, S. A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPTE-AM)
  Optimal cardinals for metrizable barrelled spaces. (English. English summary)
  J. London Math. Soc. (2) 51 (1995), no. 1, 137--147.
  46A08 (03E10)
• 1319370
  Saxon, S. A.(1-FL)
  The codensity character of topological vector spaces.
  Topological vector spaces, algebras and related areas (Hamilton, ON, 1994), 24--36,
  Pitman Res. Notes Math. Ser., 316,
  Longman Sci. Tech., Harlow, 1994.
  46A03 (46A08 46A16)
• 1319367
  Tweddle, I.(4-STRA); Saxon, S. A.(1-FL); Sánchez Ruiz, L. M.(E-VLNPTE-AM)
  Barrelled countable enlargements.
  Topological vector spaces, algebras and related areas (Hamilton, ON, 1994), 3--15,
  Pitman Res. Notes Math. Ser., 316,
  Longman Sci. Tech., Harlow, 1994.
  46A08
• 1258576
  Saxon, Stephen A.(1-FL)
  A maximal extension of Köthe's homomorphism theorem. (English. English summary)
  Dedicated to the memory of Professor Gottfried Köthe.
  Note Mat. 12 (1992), 229--236.
  46A30
• 1176003
  Saxon, Stephen A.(1-FL)
  Non-Baire hyperplanes in nonseparable Baire spaces. (English. English summary)
  J. Math. Anal. Appl. 168 (1992), no. 2, 460--468.
  46A03
• 1150749
  Saxon, Stephen A.(1-LEHI)
  Problems from the Pérez Carreras/Bonet book.
  Progress in functional analysis (Peñíscola, 1990), 233--237,
  North-Holland Math. Stud., 170,
  North-Holland, Amsterdam, 1992.
  46A08
• 1194485
  Saxon, Stephen A.(1-FL)
  All separable Banach spaces are quotients of any countable-codimensional subspace of $l\sb 1$. (English. English summary)
  Bull. Polish Acad. Sci. Math. 39 (1991), no. 3-4, 167--173.
  46B20 (46A03)
• 1194484
  Saxon, Stephen A.(1-FL)
  Every countable-codimensional subspace of an infinite-dimensional (nonnormable) Fréchet space has an infinite-dimensional Fréchet quotient (isomorphic to $\omega$). (English. English summary)
  Bull. Polish Acad. Sci. Math. 39 (1991), no. 3-4, 161--166.
  46A04
• 990433
  Saxon, Stephen A.(1-FL); Robertson, Wendy J.(5-WA)
  Dense barrelled subspaces of uncountable codimension.
  Proc. Amer. Math. Soc. 107 (1989), no. 4, 1021--1029.
  46A07
• 989565
  Saxon, Stephen A.(1-FL); Narayanaswami, P. P.(3-NF)
  Metrizable [normable] $({\rm LF})$-spaces and two classical problems in Fréchet [Banach] spaces.
  Studia Math. 93 (1989), no. 1, 1--16.
  46A06
• 943441
  Robertson, W. J.(5-WA); Saxon, S. A.(1-FL); Robertson, A. P.(5-MURD)
  Barrelled spaces and dense vector subspaces.
  Bull. Austral. Math. Soc. 37 (1988), no. 3, 383--388.
  46A07 (46A05)
• 848508
  Narayanaswami, P. P.(3-NF); Saxon, Stephen A.(1-FL)
  (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology.
  Math. Ann. 274 (1986), no. 4, 627--641.
  46A12
• 615133
  Saxon, Stephen A.; Narayanaswami, P. P.
  Metrizable (LF)-spaces, (db)-spaces, and the separable quotient problem.
  Bull. Austral. Math. Soc. 23 (1981), no. 1, 65--80.
  46A12
• 511780
  Saxon, Stephen A.; Wilansky, Albert
  The equivalence of some Banach space problems.
  Colloq. Math. 37 (1977), no. 2, 217--226.
  46B05
• 358274
  Saxon, Stephen A.
  Two characterizations of linear Baire spaces.
  Proc. Amer. Math. Soc. 45 (1974), 204--208.
  46A15
• 352925
  Saxon, Stephen A.
  Some normed barrelled spaces which are not Baire.
  Math. Ann. 209 (1974), 153--160.
  46A07
• 328523
  Todd, Aaron R.; Saxon, Stephen A.
  A property of locally convex Baire spaces.
  Math. Ann. 206 (1973), 23--34.
  46A05
• 318823
  Saxon, Stephen A.
  Embedding nuclear spaces in products of an arbitrary Banach space.
  Proc. Amer. Math. Soc. 34 (1972), 138--140.
  46A05
• 318383
  Brooks, M. S.; Morris, Sidney A.; Saxon, Stephen A.
  Generating varieties of topological groups.
  Proc. Edinburgh Math. Soc. (2) 18 (1972/73), 191--197.
  22A05
• 316992
  Diestel, J.; Morris, Sidney A.; Saxon, Stephen A.
  Varieties of linear topological spaces.
  Trans. Amer. Math. Soc. 172 (1972), 207--230.
  46A05 (46B99 46M15)
• 305010
  Saxon, Stephen A.
  Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology.
  Math. Ann. 197 (1972), 87--106.
  46A05
• 282188
  Diestel, Joseph; Morris, Sidney A.; Saxon, Stephen A.
  Varieties of locally convex topological vector spaces.
  Bull. Amer. Math. Soc. 77 1971 799--803.
  46.01
• 280973
  Levin, Mark; Saxon, Stephen
  A note on the inheritance of properties of locally convex spaces by subspaces of countable codimension.
  Proc. Amer. Math. Soc. 29 1971 97--102.
  46.01
• 280972
  Saxon, Stephen; Levin, Mark
  Every countable-codimensional subspace of a barrelled space is barrelled.
  Proc. Amer. Math. Soc. 29 1971 91--96.
  46.01