Rearrangement invariant spaces with Kato property Articles

authors

TRADACETE PEREZ, PEDRO
HERNÁNDEZ, FRANCISCO L.
SEMENOV, EVGUENI M.

published in

Functiones et Approximatio, Commentarii Mathematici Journal

publication date

June 2014

issue

2

volume

50

Digital Object Identifier (DOI)

https://doi.org/10.7169/facm/2014.50.2.2

International Standard Serial Number (ISSN)

0208-6573

Electronic International Standard Serial Number (EISSN)

2080-9433

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 ℓ2 is analyzed.

keywords

rearrangement invariant space strictly; singular operator; disjointly homogeneous space