On restrictions of operators
نویسندگان
چکیده
منابع مشابه
On Restrictions of Operators
Introduction. Let r be a bounded linear operator on a Banach space B and let t_1 exist. Consider a closed subspace C of B which is invariant under t, i.e. rCQC. The restriction of r to C is an operator T on the Banach space C. Suppose now that t^CÇ^C, so that T has no inverse. The class of operators T arising in this way has rather special properties, which are in general quite different from t...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1953
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1953-0059470-4