2024
DOI: 10.1017/s001309152400035x
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Solid bases and functorial constructions for (p-)Banach spaces of analytic functions

Guozheng Cheng,
Xiang Fang,
Chao Liu
et al.

Abstract: Motivated by new examples of functional Banach spaces over the unit disk, arising as the symbol spaces in the study of random analytic functions, for which the monomials $\{z^n\}_{n\geq 0}$ exhibit features of an unconditional basis yet they often don’t even form a Schauder basis, we introduce a notion called solid basis for Banach spaces and p-Banach spaces and study its properties. Besides justifying the rich existence of solid bases, we study their relationship with unconditional bases, the weak-star conver… Show more

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