Characterizations of weakly K-analytic and Vašák spaces using projectional skeletons and separable PRI
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00558320" target="_blank" >RIV/67985840:_____/22:00558320 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/22:10456403
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2022.126389" target="_blank" >https://doi.org/10.1016/j.jmaa.2022.126389</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2022.126389" target="_blank" >10.1016/j.jmaa.2022.126389</a>
Alternative languages
Result language
angličtina
Original language name
Characterizations of weakly K-analytic and Vašák spaces using projectional skeletons and separable PRI
Original language description
We find characterizations of Vašák spaces and weakly K-analytic spaces using the notions of separable projectional resolution of the identity (SPRI) and of projectional skeleton. This in particular addresses a recent challenge suggested by M. Fabian and V. Montesinos in [16]. 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 {sn:n∈ω} on a Banach space inducing the same set, there exists a projectional skeleton on the space (indexed by ranges of the corresponding projections) which is isomorphic to a subskeleton of each sn, n∈ω.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GJ19-05271Y" target="_blank" >GJ19-05271Y: Groups and their actions, operator algebras, and descriptive set theory</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
1096-0813
Volume of the periodical
515
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
126389
UT code for WoS article
000833523600025
EID of the result in the Scopus database
2-s2.0-85131436977