[PDF][PDF] Spectral properties of linear operators through invariant subspaces
SV Djordjevic, BP Duggal - Functional Anal., Approx. and …, 2009 - researchgate.net
SV Djordjevic, BP Duggal
Functional Anal., Approx. and Computation, 2009•researchgate.net… In this note we will give conditions for invertibility of mapping T between two normed spaces
using properties of its restrictions to invariant subspaces and mappings induced by T over
quotient subspaces. … In this paper, we start by considering the invertibility of a linear mapping,
respectively operator, T by considering the restriction T|E of T to an invariant subspace E and
the mapping T|X/E determined by T on the quotient space X/E of this invariant subspace. (We
refer the reader to the recent publications by BA … The Browder spectrum σb(.) satisfies a …
using properties of its restrictions to invariant subspaces and mappings induced by T over
quotient subspaces. … In this paper, we start by considering the invertibility of a linear mapping,
respectively operator, T by considering the restriction T|E of T to an invariant subspace E and
the mapping T|X/E determined by T on the quotient space X/E of this invariant subspace. (We
refer the reader to the recent publications by BA … The Browder spectrum σb(.) satisfies a …
Abstract
In this note we will give conditions for invertibility of mapping T between two normed spaces using properties of its restrictions to invariant subspaces and mappings induced by T over quotient subspaces.
researchgate.net