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Centro de Ciencias Matemáticas UNAM

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Type: Article

Some applications of Q-points and Lebesgue filters to Banach spaces

Abstract:

We present a new characterization of Q-point ultrafilters and use it to optimize the result of Avilés, Martínez-Cervantes, and Rueda Zoca linking the existence of L-orthogonal sequences and L-orthogonal elements in Banach spaces via ultrafilter limits.''
Keywords: Functional Analysis||Normed linear spaces and Banach spaces||Banach lattices||Classical Banach spaces in the general theory
MSC: 46B25 (03E05)
Journal: Extracta Mathematicae
Year: 2024
Volume: 39
Number: 2
Pages: 173-187
Created Created: 2025-05-07 12:49:09
Modified Modified: 2025-05-07 12:49:22
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