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Embedding of quasi-multipliers of a Banach algebra into its second dual

Published online by Cambridge University Press:  24 October 2008

R. Vasudevan  and
Satya Goel
R. Vasudevan
Affiliation:
Department of Mathematics, University of Delhi
Satya Goel
Affiliation:
Department of Mathematics, University of Delhi
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Abstract

The purpose of this paper is to establish an embedding of QM (A), the Banach space of all quasi-multipliers on A, in the second conjugate space A** of a Banach algebra A, which extends the well-known embedding of the left multipliers (right multipliers) of A in A**. We also prove that, for a dual B*-algebra, QM(A) is isometrically isomorphic to A**.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 3 , May 1984 , pp. 457 - 466
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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