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COMPARISONS BETWEEN DIFFERENT SPECTRA OF AN ELEMENT IN A BANACH ALGEBRA

摘要


In this paper we study the relationships among the spectra of the cosets of an element of a Banach algebra in some quotient algebras. We also characterize the spectrum of any a ∈ M (where M is an ideal of a Banach algebra with identity and moreover has an identity) in the whole algebra in terms of the spectrum of a in M.

關鍵字

Banach algebras spectra ideals

延伸閱讀