Year: 2007
Type: preprint
Abstract: If X is a sequentially complete locally convex space, then a quotient bounded operator T is regular (in the sense of Waelbroeck) if and only if it is a bounded element (in the sense of Allan) of the algebra of quotient bounded operators on X. The classic functional calculus for the bounded operators on Banach space is generalized for such bounded operators. Also are studied some spectral propreties of the locally bounded operators.
Source: arXiv (Cornell University)
Author: Stoian, Mirel Sorin
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2132745161