Sequential order of product of Frechet spaces

被引：3
|
作者：
Nogura, T
Shibakov, A
机构：
[1] EHIME UNIV,FAC SCI,DEPT MATH,MATSUYAMA,EHIME 790,JAPAN
[2] AUBURN UNIV,DEPT MATH,AUBURN,AL 36849
来源：
TOPOLOGY AND ITS APPLICATIONS | 1996年 / 70卷 / 2-3期
关键词：
Frechet space; kappa-space; kappa(omega)-space; product space; sequential order; sequential space; strongly Frechet;
D O I：
10.1016/0166-8641(95)00099-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct, assuming the continuum hypothesis (CI), two (strongly) Frechet spaces whose product is sequential and its sequential order is alpha for any given alpha less than or equal to omega(1).
引用
收藏
页码：245 / 253
页数：9
相关论文
共 50 条
  • [31] Differentiability in Frechet spaces and delay differential equations
    Walther, Hans-Otto
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (13) : 1 - 44
  • [32] A quantitative approach to weak compactness in Frechet spaces and spaces C(X)
    Angosto, C.
    Kakol, J.
    Lopez-Pellicer, M.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (01) : 13 - 22
  • [33] Convergence of arithmetic means of operators in Frechet spaces
    Albanese, Angela A.
    Bonet, Jose
    Ricker, Werner J.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 401 (01) : 160 - 173
  • [34] Frechet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesaro spaces
    Bonet, Jose
    Ricker, Werner J.
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2021, 28 (01) : 1 - 19
  • [35] ON QUADRATIC INTEGRAL EQUATIONS OF URYSOHN TYPE IN FRECHET SPACES
    Benchohra, M.
    Darwish, M. A.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2010, 79 (01): : 103 - 108
  • [36] HILFER AND HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN FRECHET SPACES
    Abbas, Said
    Benchohra, Mouffak
    Hamidi, Naima
    Nieto, Juan J.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 10 (01): : 102 - 116
  • [37] Construction and basic properties of Gaussian measures on Frechet spaces
    Zapala, AM
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (02) : 445 - 470
  • [38] A note on κ-Frechet-Urysohn property in function spaces
    Tkachuk, V. V.
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2021, 28 (01) : 123 - 132
  • [39] Frechet quotients of spaces of real-analytic functions
    Domanski, P
    Frerick, L
    Vogt, D
    STUDIA MATHEMATICA, 2003, 159 (02) : 229 - 245
  • [40] LOCAL SUBDIFFERENTIALS AND MULTIVARIATIONAL INEQUALITIES IN BANACH AND FRECHET SPACES
    Kasyanov, Pavlo O.
    Mel'nik, Valery S.
    Piccirillo, Anna M.
    OPUSCULA MATHEMATICA, 2008, 28 (03) : 295 - 311
12345