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Weyl-Type Theorems on Banach Spaces Under Compact Perturbations

Pietro AienaSalvatore Triolo

subject

Mathematics::Functional AnalysisPure mathematicsGeneral Mathematics010102 general mathematicsBrowder-type theorems and Weyl-type theoremBanach spaceType (model theory)Compact operator01 natural sciencesToeplitz matrix010101 applied mathematicslocalized SVEPSettore MAT/05 - Analisi MatematicaMathematics (all)0101 mathematicsMathematics

description

In this paper, we study Browder-type and Weyl-type theorems for operators $$T+K$$ defined on a Banach space X, where K is (a non necessarily commuting) compact operator on X. In the last part, the theory is exemplified in the case of isometries, analytic Toeplitz operators, semi-shift operators, and weighted right shifts.

yearjournalcountryeditionlanguage
2018-05-19
10.1007/s00009-018-1176-yhttp://hdl.handle.net/10447/290140