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Sequential Convergence in Topological Vector Spaces
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A. K. Katsaras
Published/Copyright:
February 23, 2010
Abstract
For a given linear topology τ, on a vector space E, the finest linear topology having the same τ convergent sequences, and the finest linear topology on E having the same τ precompact sets, are investigated. Also, the sequentially bornological spaces and the sequentially barreled spaces are introduced and some of their properties are studied.
Key words and phrases.: String; sequential space; sequentially barreled space; sequentially bornological space; sequential convergence
Received: 1993-11-29
Published Online: 2010-02-23
Published in Print: 1995-April
© 1995 Plenum Publishing Corporation
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Keywords for this article
String;
sequential space;
sequentially barreled space;
sequentially bornological space;
sequential convergence
Articles in the same Issue
- The Boundary-Contact Problem of Elasticity for Homogeneous Anisotropic Media with a Contact on Some Part of the Boundaries
- Basic Boundary Value Problems of Thermoelasticity for Anisotropic Bodies with Cuts. I
- Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order
- Sequential Convergence in Topological Vector Spaces
- On Some Boundary Value Problems with Integral Conditions for Functional Differential Equations
- Construction of Entire Modular Forms of Weights 5 and 6 for the Congruence Group Γ0(4N)
- Two-Dimension-Like Functions Defined on the Class of all Tychonoff Spaces
- The Cauchy–Nicoletti Problem with Poles
