Completeness and compactness properties in metric spaces, topological groups and function spaces

Topology and its Applications ◽

10.1016/j.topol.2017.04.012 ◽

2017 ◽

Vol 226 ◽

pp. 134-164 ◽

Author(s):

Alejandro Dorantes-Aldama ◽

Dmitri Shakhmatov

Keyword(s):

Metric Spaces ◽

Function Spaces ◽

Topological Groups ◽

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Cartesian products of Fr�chet topological groups and function spaces

Acta Mathematica Hungarica ◽

10.1007/bf00051638 ◽

1992 ◽

Vol 60 (3-4) ◽

pp. 207-215 ◽

Author(s):

V. I. Malyhin ◽

D. B. Shakhmatov

Keyword(s):

Function Spaces ◽

Topological Groups ◽

Cartesian Products ◽

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Convexity of integral transforms and function spaces

Integral Transforms and Special Functions ◽

10.1080/10652460600871426 ◽

2007 ◽

Vol 18 (1) ◽

pp. 1-14 ◽

Author(s):

R. Balasubramanian ◽

S. Ponnusamy ◽

D. J. Prabhakaran

Keyword(s):

Integral Transforms ◽

Function Spaces ◽

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Capacities and Function Spaces on the Local Field

10.1063/1.2193114 ◽

2006 ◽

Author(s):

Hiroshi Kaneko

Keyword(s):

Local Field ◽

Function Spaces ◽

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Distributions and Function Spaces

Analysis of Finite Difference Schemes - Springer Series in Computational Mathematics ◽

10.1007/978-1-4471-5460-0_1 ◽

2014 ◽

pp. 1-90 ◽

Author(s):

Boško S. Jovanović ◽

Endre Süli

Keyword(s):

Function Spaces ◽

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Notation and function spaces

Universitext - Degenerate Parabolic Equations ◽

10.1007/978-1-4612-0895-2_1 ◽

1993 ◽

pp. 1-15

Author(s):

Emmanuele DiBenedetto

Keyword(s):

Function Spaces ◽

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Quantum Differentials and Function Spaces

Operator Algebras, Toeplitz Operators and Related Topics - Operator Theory: Advances and Applications ◽

10.1007/978-3-030-44651-2_24 ◽

2020 ◽

pp. 423-437

Author(s):

Armen Sergeev

Keyword(s):

Function Spaces ◽

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On Skew-Metric Spaces and Function Groups

American Journal of Mathematics ◽

10.2307/2371799 ◽

1947 ◽

Vol 69 (4) ◽

pp. 790

Author(s):

Hwa-Chung Lee

Keyword(s):

Metric Spaces ◽

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The Paranormality of Subsets of Hyperspaces and Function Spaces

Mathematical Notes ◽

10.1134/s0001434618070337 ◽

2018 ◽

Vol 104 (1-2) ◽

pp. 316-318

Author(s):

A. V. Bogomolov

Keyword(s):

Function Spaces ◽

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Statistical Convergence in Function Spaces

Abstract and Applied Analysis ◽

10.1155/2011/420419 ◽

2011 ◽

Vol 2011 ◽

pp. 1-11 ◽

Author(s):

Agata Caserta ◽

Giuseppe Di Maio ◽

Ljubiša D. R. Kočinac

Keyword(s):

Uniform Convergence ◽

Statistical Convergence ◽

Statistical Approach ◽

Metric Spaces ◽

Function Spaces ◽

Strong Uniform Convergence ◽

Convergence Of Sequences

We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces. Also, we discuss a statistical approach to recently introduced notions of strong uniform convergence and exhaustiveness.

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Gerlits and function spaces

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/sscmath.47.2010.4.1161 ◽

2010 ◽

Vol 47 (4) ◽

pp. 529-557 ◽

Author(s):

Marion Scheepers

Keyword(s):

Function Spaces ◽

János Gerlits died unexpectedly in 2008. In this paper we attempt to make a small tribute to his very powerful mathematical legacy by describing the emerging impact of two ideas, γ-spaces and Gerlits-Nagy spaces, from [19] and [20].

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