On dual Banach algebras

Author:

Wong Pak Ken

Abstract

Let A A be a semisimple Banach algebra with \left \| \right \| , which is a dense subalgebra of a semisimple Banach algebra B B with | | \left | \right | such that \left \| \right \| majorizes | | \left | \right | on A A . The purpose of this paper is to investigate the dual property between the algebras A A and B B . Some well-known results follow from this paper.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. Banach algebras which are ideals in a Banach algebra;Barnes, Bruce A.;Pacific J. Math.,1971

2. Approximate identities in normed algebras;Dixon, P. G.;Proc. London Math. Soc. (3),1973

3. Dual 𝐴*-algebras of the first kind;Johnson, David L.;Proc. Amer. Math. Soc.,1979

4. Weakly completely continuous Banach *-algebras;Ogasawara, Tôzirô;J. Sci. Hiroshima Univ. Ser. A,1954

5. The University Series in Higher Mathematics;Rickart, Charles E.,1960

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