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

Michael Grosser

Studia Mathematica (1997)

  • Volume: 124, Issue: 3, page 291-300
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Grosser, Michael. "Quasi-multipliers of the algebra of approximable operators and its duals." Studia Mathematica 124.3 (1997): 291-300. <http://eudml.org/doc/216416>.

@article{Grosser1997,
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.},
author = {Grosser, Michael},
journal = {Studia Mathematica},
keywords = {Banach algebra; approximable operators; bilinear continuous quasi-multipliers; representations as spaces of operators},
language = {eng},
number = {3},
pages = {291-300},
title = {Quasi-multipliers of the algebra of approximable operators and its duals},
url = {http://eudml.org/doc/216416},
volume = {124},
year = {1997},
}

TY - JOUR
AU - Grosser, Michael
TI - Quasi-multipliers of the algebra of approximable operators and its duals
JO - Studia Mathematica
PY - 1997
VL - 124
IS - 3
SP - 291
EP - 300
AB - 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.
LA - eng
KW - Banach algebra; approximable operators; bilinear continuous quasi-multipliers; representations as spaces of operators
UR - http://eudml.org/doc/216416
ER -

References

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  1. [AR] Z. Argün and K. Rowlands, On quasi-multipliers, Studia Math. 108 (1994), 217-245. 
  2. [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. Zbl0411.46044
  3. [G1] M. Grosser, Bidualräume und Vervollständigungen von Banachmoduln, Lecture Notes in Math. 717, Springer, Berlin, 1979. 
  4. [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. 

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