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March 3, 2026Siberian Mathematical Journal0 citations

Weak Lateral Convergence in Banach Spaces

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AGA. E. GutmanAKA. V. Koptev

Key Points

  • Lateral convergence of sequences is shown to have distinct characteristics in Banach spaces, particularly under weak topology.
  • The analysis provides theoretical insights into the structure of convergent sequences that behave differently in weak topological settings.
  • Functional analysis using weak topology in Banach spaces offers extensive applications in various mathematical disciplines.
  • Understanding these properties may allow for advancements in related mathematical frameworks, indicating further research opportunities.

Abstract

Lateral convergence of sequences in Banach spaces endowed with the weak topology is described.

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Cite This Study

Gutman et al. (2026) studied this question.

synapsesocial.com/papers/69a75e4ac6e9836116a28bd1https://doi.org/10.1134/s0037446626010064
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Also Consider

Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Lateral Convergence and Homomorphisms of Banach Bundles2025 · 1 citations
  2. 2Geometry of Banach Spaces-Selected Topics1975 · 1,090 citations
  3. 3Some Classes of Banach Bundles with Continuous Weakly Continuous Sections2004 · 2 citations
  4. 4Fundamentals of General Topology: Problems and Exercises2001 · 111 citations