ON WEYL AND BROWDER SPECTRA OF TENSOR PRODUCTS
2008 ◽
Vol 50
(2)
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pp. 289-302
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Keyword(s):
AbstractLet A and B be Hilbert space operators. In this paper we explore the structure of parts of the spectrum of the tensor product A ⊗ B, and conclude some properties that follow from such a structure. We give conditions on A and B ensuring that σw(A ⊗ B) =σw(A)ċσ(B) ∪ σ(A)ċσw(B), where σ(ċ) and σw(ċ) stand for the spectrum and Weyl spectrum, respectively. We also investigate the problem of transferring Weyl and Browder's theorems from A and B to their tensor product A⊗B.
1990 ◽
Vol 108
(2)
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pp. 395-403
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1990 ◽
Vol 13
(4)
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pp. 807-810
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1999 ◽
Vol 42
(2)
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pp. 267-284
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2014 ◽
Vol 25
(02)
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pp. 1450019
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Keyword(s):
1976 ◽
Vol 21
(2)
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pp. 241-246
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Keyword(s):
2004 ◽
Vol 133
(6)
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pp. 1727-1731
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Keyword(s):