Quasi-multipliers of the algebra of approximable operators and its duals

Michael Grosser

ArticleOriginal scientific text

Title

Quasi-multipliers of the algebra of approximable operators and its duals

Authors ¹

Affiliations

Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria

Abstract

Let A be the Banach algebra

K_{0} (X)

of approximable operators on an arbitrary Banach space X. For the spaces of all bilinear continuous quasi-multipliers of A resp. its dual A* resp. its bidual A**, concrete representations as spaces of operators are given.

[AR] Z. Argün and K. Rowlands, On quasi-multipliers, Studia Math. 108 (1994), 217-245.
[CLM] J. Cigler, V. Losert and P. Michor, Banach Modules and Functors on Categories of Banach Spaces, Lecture Notes in Pure and Appl. Math. 46, Dekker, New York, 1979.
[G1] M. Grosser, Bidualräume und Vervollständigungen von Banachmoduln, Lecture Notes in Math. 717, Springer, Berlin, 1979.
[G2] M. Grosser, Module tensor products of $K_{0} (X, X)$ with its dual, in: Functions, Series, Operators, Vols. I, II (Budapest, 1980), Colloq. Math. Soc. János Bolyai 35, North-Holland, Amsterdam, 1983, 551-560.

Title

Quasi-multipliers of the algebra of approximable operators and its duals

Affiliations

Abstract

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