Disjointly strictly singular inclusions of symmetric spaces
Functional Analysis
2007-05-23 v1 Classical Analysis and ODEs
Abstract
A condition for the presence of a "gap" between symmetric spaces sufficient for the inclusion of one of these spaces into the other to be disjointly strictly singular is found. This condition is stated in terms of fundamental functions of spaces and is exact in a certain sense. In parallel, necessary and sufficient conditions for an inclusion of Lorentz spaces to be disjointly strictly singular are obtained.
Keywords
Cite
@article{arxiv.math/0005027,
title = {Disjointly strictly singular inclusions of symmetric spaces},
author = {S. V. Astashkin},
journal= {arXiv preprint arXiv:math/0005027},
year = {2007}
}
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12 pages