A note on strict K-monotonicity of some symmetric function spaces

Maciej Ciesielski; Paweł Kolwicz; Ryszard Płuciennik

doi:10.14708/cm.v53i2.794

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Title

A note on strict K-monotonicity of some symmetric function spaces

Authors

Maciej Ciesielski (WE) ^{[ 1 ][ P ]}
Paweł Kolwicz (WE) ^{[ 1 ][ P ]}
Ryszard Płuciennik (WE) ^{[ 1 ][ P ]}

^{[ 1 ]} Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | ^{[ P ]} employee

Year of publication

2013

Published in

Commentationes Mathematicae

Journal year: 2013 | Journal volume: vol. 53 | Journal number: no. 2

Article type

scientific article

Publication language

english

Keywords

EN

Köthe space
K-monotonicity
strict K-monotonicity
symmetric

Abstract

EN We discuss some sufficient and necessary conditions for strict K-monotonicity of some important concrete symmetric spaces. The criterion for strict monotonicity of the Lorentz space Γ_p,w with 0 < p < ∞ is given.

Pages (from - to)

311 - 322

DOI

10.14708/cm.v53i2.794

URL

https://wydawnictwa.ptm.org.pl/index.php/commentationes-mathematicae/article/view/794

Ministry points / journal

9

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