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

• Autorzy: Michael Grosser
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47L50: Dual spaces of operator algebras
• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 46H35: Topological algebras of operators \SeeMainly{}

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 124
• Numer: 3
• Strony: 291-300

Daty

wydano

1997

otrzymano

1996-05-31

poprawiono

1997-02-24

Twórcy

autor

Michael Grosser

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

Bibliografia

• [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.