On (m, P)-expansive operators: products, perturbation by nilpotents, Drazin invertibility

A generalisation of m-expansive Hilbert space operators T ∈ B(ℋ) [18, 20] to Banach space operators T ∈ B( ) is obtained by defining that a pair of operators A, B ∈ B( ) is (m, P)-expansive for some operator P ∈ B( ) if Δ A,Bm(P)= (I-LARB)m(P)=∑j=0m(-1)j(jm){\left( {I - {L_A}{R_B}} \right)^m}\left(...

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Hovedforfatter:	Duggal B.P.
Format:	Artigo
Sprog:	Inglês
Udgivet:	De Gruyter 2021-11-01
Serier:	Concrete Operators
Fag:	hilbert/banach space left/right multiplication operator (m, p)-expansive operators m-left invertible/m-isometric operators product of operators perturbation by nilpotents drazin invertible operators 47a05, 47a55 secondary 47a11, 47b47
Online adgang:	https://doi.org/10.1515/conop-2020-0120
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