Disjointly strictly singular inclusions of symmetric spaces

Details Disjointly strictly singular inclusions of symmetric spaces Disjointly strictly singular inclusions of symmetric spaces

2000-05-03

arxiv.org/abs/math/0005027v1

Mathematical Notes, V. 65, No. 1 (1999), P. 3 -- 12

Mathematics

Functional Analysis

12 pages

Scientific paper

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.

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