Tensor products and the semi-browder joint spectra

Given two complex Banach spaces X1 and X2, a tensor product of X1 and X2, X1 ⊗̃ X2, in the sense of J. Eschmeier ([5]), and two finite tuples of commuting operators, S = (S1,..., Sn) and T = (T1,..., Tm), defined on X1 and X2 respectively, we consider the (n+m)-tuple of operators defined on X1 ⊗̃ X2...

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Autor principal: Boasso, E.
Formato: JOUR
Materias:
Semi-Browder and split joint spectra
Semi-Fredholm
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03794024_v47_n1_p79_Boasso
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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record_format dspace
spelling todo:paper_03794024_v47_n1_p79_Boasso2023-10-03T15:33:24Z Tensor products and the semi-browder joint spectra Boasso, E. Semi-Browder and split joint spectra Semi-Fredholm Given two complex Banach spaces X1 and X2, a tensor product of X1 and X2, X1 ⊗̃ X2, in the sense of J. Eschmeier ([5]), and two finite tuples of commuting operators, S = (S1,..., Sn) and T = (T1,..., Tm), defined on X1 and X2 respectively, we consider the (n+m)-tuple of operators defined on X1 ⊗̃ X2, (S ⊗ I,I ⊗ T) = (S1 ⊗ I,..., Sn ⊗ I, I ⊗ T1,..., I ⊗ Tm), and we give a description of the semi-Browder joint spectra introduced by V. Kordula, V. Müller and V. Rakočević in [7] and of the split semi-Browder joint spectra (see Section 3) of the (n+m)-tuple (S ⊗ I, I ⊗ T), in terms of the corresponding joint spectra of S and T. This result is in some sense a generalization of a formula obtained for other various Browder spectra in Hilbert spaces and for tensor products of operators and for tuples of the form (S ⊗ I, I ⊗ T). In addition, we also describe all the mentioned joint spectra for a tuple of left and right multiplications defined on an operator ideal between Banach spaces in the sense of [5]. Fil:Boasso, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03794024_v47_n1_p79_Boasso
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Semi-Browder and split joint spectra
Semi-Fredholm
spellingShingle Semi-Browder and split joint spectra
Semi-Fredholm
Boasso, E.
Tensor products and the semi-browder joint spectra
topic_facet Semi-Browder and split joint spectra
Semi-Fredholm
description Given two complex Banach spaces X1 and X2, a tensor product of X1 and X2, X1 ⊗̃ X2, in the sense of J. Eschmeier ([5]), and two finite tuples of commuting operators, S = (S1,..., Sn) and T = (T1,..., Tm), defined on X1 and X2 respectively, we consider the (n+m)-tuple of operators defined on X1 ⊗̃ X2, (S ⊗ I,I ⊗ T) = (S1 ⊗ I,..., Sn ⊗ I, I ⊗ T1,..., I ⊗ Tm), and we give a description of the semi-Browder joint spectra introduced by V. Kordula, V. Müller and V. Rakočević in [7] and of the split semi-Browder joint spectra (see Section 3) of the (n+m)-tuple (S ⊗ I, I ⊗ T), in terms of the corresponding joint spectra of S and T. This result is in some sense a generalization of a formula obtained for other various Browder spectra in Hilbert spaces and for tensor products of operators and for tuples of the form (S ⊗ I, I ⊗ T). In addition, we also describe all the mentioned joint spectra for a tuple of left and right multiplications defined on an operator ideal between Banach spaces in the sense of [5].
format JOUR
author Boasso, E.
author_facet Boasso, E.
author_sort Boasso, E.
title Tensor products and the semi-browder joint spectra
title_short Tensor products and the semi-browder joint spectra
title_full Tensor products and the semi-browder joint spectra
title_fullStr Tensor products and the semi-browder joint spectra
title_full_unstemmed Tensor products and the semi-browder joint spectra
title_sort tensor products and the semi-browder joint spectra
url http://hdl.handle.net/20.500.12110/paper_03794024_v47_n1_p79_Boasso
work_keys_str_mv AT boassoe tensorproductsandthesemibrowderjointspectra
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