Quotients, ℓ∞ and abstract Cesàro spaces

Tomasz Kiwerski; Paweł Kolwicz; Jakub Tomaszewski

doi:10.1007/s13398-022-01245-1

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Title

Quotients, ℓ∞ and abstract Cesàro spaces

Authors

Tomasz Kiwerski (WARiE) ^{[ 1 ][ 7.4 ][ P ]}
Paweł Kolwicz (WARiE) ^{[ 1 ][ 7.4 ][ P ]}
Jakub Tomaszewski (WARiE) ^{[ 1 ][ 7.4 ][ P ]}

^{[ 1 ]} Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[7.4] Mathematics

Year of publication

2022

Published in

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Journal year: 2022 | Journal volume: vol. 116 | Journal number: iss. 3

Article type

scientific article

Publication language

english

Keywords

EN

Banach lattices
Banach ideal spaces
rearrangement invariant (symmetric) spaces
Cesàro spaces
Cesàro (Hardy) operator
lattice isometric copies of ℓ∞
order ideals
order continuity
quotients

Abstract

EN Investigating some re-arrangement properties of the norm in the quotient spaces X/X_a we determine the properties of the codomain space X guaranteeing the existence of a lattice isometric copy of ℓ_∞ in the abstract Cesàro space CX.

Pages (from - to)

131-1 - 131-29

DOI

10.1007/s13398-022-01245-1

URL

https://link.springer.com/article/10.1007/s13398-022-01245-1

Comments

article number: 131

License type

CC BY (attribution alone)

Open Access Mode

czasopismo hybrydowe

Open Access Text Version

final published version

Date of Open Access to the publication

at the time of publication

Full text of article

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Access level to full text

public

Ministry points / journal

100

Impact Factor

2,9

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