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WEYL'S THEOREM, TENSOR PRODUCTS AND MULTIPLICATION OPERATORS II

Published online by Cambridge University Press:  25 August 2010

BHAGGY DUGGAL
Affiliation:
8 Redwood Grove, Northfield Avenue, Ealing, London W5 4SZ, UK e-mail: bpduggal@yahoo.co.uk
ROBIN HARTE
Affiliation:
School of Mathematics, Trinity College Dublin, Dublin 2, Ireland e-mail: rharte@maths.tcd.ie
AN-HYUN KIM
Affiliation:
Department of Mathematics, Changwon National University, Changwon, Korea e-mail: ahkim@changwon.ac.kr
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Abstract

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The ‘polaroid’ property transfers from Banach algebra elements to their tensor product, and hence also to their induced multiplications on ‘ultraprime’ Banach bimodules.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

REFERENCES

1.Duggal, B. P., Harte, R. E. and Jeon, I. H., Polaroid operators and Weyl's theorem, Proc. Amer. Math. Soc. 132 (2004), 13451349.CrossRefGoogle Scholar
2.Harte, R. E., Tensor products, multiplication operators and the spectral mapping theorem, Proc. R. Irish Acad. 73(A) (1973), 285302.Google Scholar
3.Harte, R. E., Fredholm, Weyl and Browder theory, Proc. R. Irish Acad. 85(A) (1986), 151176.Google Scholar
4.Harte, R. E., Invertibility and singularity for bounded linear operators (Dekker, New York, 1988).Google Scholar
5.Harte, R. E. and Hernandez, C., On the Taylor spectrum of left-right multipliers, Proc. Amer. Math. Soc. 126 (1998), 103118.CrossRefGoogle Scholar
6.Harte, R. E. and Kim, A.-H., Weyl's theorem, tensor products and multiplication operators, J. Math. Anal. Appl. 336 (2007), 11241131.CrossRefGoogle Scholar
7.Kitson, D., Harte, R. E. and Hernandez, C., Weyl's theorem and tensor products: A counterexample J. Math. Anal. Appl. (to appear).Google Scholar
8.Koliha, J. J., A generalized Drazin inverse, Glasgow Math. J. 38 (1996), 367381.CrossRefGoogle Scholar
9.Kubrusly, C. S. and Duggal, B. P., On Weyl and Browder spectra of tensor products, Glasgow Math. J. 50 (2008), 289302.CrossRefGoogle Scholar
10.Song, Y.-H. and Kim, A.-H., Weyl's theorem for tensor products, Glasgow Math. J. 46 (2004), 301304.CrossRefGoogle Scholar