Geodesic
ON WEYL AND BROWDER SPECTRA OF TENSOR PRODUCTS
Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 289-302

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DOI

Let 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.
DOI : 10.1017/S0017089508004205
Mots-clés : Primary 47A80, Secondary 47A53 
KUBRUSLY, C. S.; DUGGAL, B. P. ON WEYL AND BROWDER SPECTRA OF TENSOR PRODUCTS. Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 289-302. doi: 10.1017/S0017089508004205
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     title = {ON {WEYL} {AND} {BROWDER} {SPECTRA} {OF} {TENSOR} {PRODUCTS}},
     journal = {Glasgow mathematical journal},
     pages = {289--302},
     year = {2008},
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