A Functional Calculus for Quotient Bounded Operators
Journal Title: Surveys in Mathematics and its Applications - Year 2006, Vol 1, Issue 0
Abstract
If <I>(X, P)</I> is a sequentially locally convex space, then a quotient bounded operator <I>T</I> beloging to <I>Q<SUB>P</SUB></I> is regular (in the sense of Waelbroeck) if and only if it is a bounded element (in the sense of Allan) of algebra <I>Q<SUB>P</SUB></I>. The classic functional calculus for bounded operators on Banach space is generalized for bounded elements of algebra <I>Q<SUB>P</SUB></I>.
Authors and Affiliations
Sorin Mirel Stoian
Keywords
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