Tensor products, multiplications and Weyl's theorem

DOI10.1007/BF02874946zbMath1123.47018OpenAlexW2009180959WikidataQ114233736 ScholiaQ114233736MaRDI QIDQ862007

Pietro Aiena, Bhaggy Duggal

Publication date: 2 February 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02874946

zbMATH Keywords

Banach spaceWeyl's theoremtensor productmultiplicationssingle valued extension property (SVEP)Polaroid operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Commutators, derivations, elementary operators, etc. (47B47) Local spectral properties of linear operators (47A11) Tensor products of linear operators (47A80)

Related Items

Browder--Weyl theorems, tensor products and multiplications, The Drazin spectrum of tensor product of Banach algebra elements and elementary operators, Generalized Browder's and Weyl's theorems for generalized derivations, Generalized Browder's theorem for tensor product and elementary operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Weyl's theorems for some classes of operators
• Browder's theorems through localized SVEP
• Kato type operators and Weyl's theorem
• Weyl spectra and Weyl's theorem
• Generalisation de la decomposition de kato aux opérateurs paranormaux et spectraux
• Another note on Weyl’s theorem
• Polaroid operators and Weyl’s theorem
• WEYL'S THEOREM, $a$-WEYL'S THEOREM, AND LOCAL SPECTRAL THEORY
• Classes of operators satisfying a-Weyl's theorem
• Weyl's and Browder's theorems for operators satisfying the SVEP
• WEYLS THEOREM FOR TENSOR PRODUCTS
• Spectra of Tensor Products of Operators