Open Access
June 2014 Rearrangement invariant spaces with Kato property
Francisco L. Hernández, Evgueni M. Semenov, Pedro Tradacete
Funct. Approx. Comment. Math. 50(2): 215-232 (June 2014). DOI: 10.7169/facm/2014.50.2.2

Abstract

We study rearrangement invariant spaces on which the classes of strictly singular and compact operators coincide. The relation between this property and the fact that every normalized disjoint sequence in the space has a subsequence equivalent to the unit vector basis of $\ell_2$ is analyzed.

Citation

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Francisco L. Hernández. Evgueni M. Semenov. Pedro Tradacete. "Rearrangement invariant spaces with Kato property." Funct. Approx. Comment. Math. 50 (2) 215 - 232, June 2014. https://doi.org/10.7169/facm/2014.50.2.2

Information

Published: June 2014
First available in Project Euclid: 26 June 2014

zbMATH: 1311.46026
MathSciNet: MR3229058
Digital Object Identifier: 10.7169/facm/2014.50.2.2

Subjects:
Primary: 46E30 , 47B38
Secondary: 47B10

Keywords: disjointly homogeneous space , ‎rearrangement ‎invariant space , strictly singular operator

Rights: Copyright © 2014 Adam Mickiewicz University

Vol.50 • No. 2 • June 2014
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