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

Autores/as

  • M. Hrušák Centro de Ciencias Matemáticas, UNAM A.P. 61-3, Xangari, Morelia, Michoacán, 58089, México
  • L. Sáenz Centro de Ciencias Matemáticas, UNAM A.P. 61-3, Xangari, Morelia, Michoacán, 58089, México

DOI:

https://doi.org/10.17398/

Palabras clave:

Q-point, Katětov order, L-sequence, L-element

Resumen

We present a new characterization of Q-point ultrafilters and use it to optimize the result of Avilés, Martı́nez-Cervantes, and Rueda Zoca linking the existence of L-orthogonal sequences and L-orthogonal elements in Banach spaces via ultrafilter limits.

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Referencias

A. Avilés, G. Martı́nez-Cervantes, A. Rueda Zoca, Banach spaces containing c0 and elements in the fourth dual, J. Math. Anal. Appl. 508 (2) (2022), Paper No. 125911, 10 pp.

A. Avilés, G. Martı́nez-Cervantes, A. Rueda Zoca, L-orthogonal elements and L-orthogonal sequences, Int. Math. Res. Not. IMRN (2023), n. 11, 9128 – 9154.

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Publicado

2024-06-13

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Cómo citar

Some applications of Q-points and Lebesgue filters to Banach spaces. (2024). Extracta Mathematicae. https://doi.org/10.17398/