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- W3202973709 abstract "We find characterizations of Vav{s}'ak spaces and weakly $mathcal{K}$-analytic spaces using the notions of separable projectional resolution of the identity (SPRI) and of projectional skeleton. This in particular solves a problem suggested by M. Fabian and V. Montesinos. Our method of proof also gives similar characterizations of WCG spaces and their subspaces (some aspects of which were known, some are new). Moreover we show that for countably many projectional skeletons on a Banach space there exists a common subskeleton $(P_s)_{s in Gamma}$, which is in addition indexed by the ranges of the projections ${P_s: s in Gamma}$." @default.
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- W3202973709 date "2021-10-05" @default.
- W3202973709 modified "2023-09-27" @default.
- W3202973709 title "Characterizations of weakly $mathcal{K}$-analytic and Vav{s}'ak spaces using projectional skeletons and using separable PRI" @default.
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