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

Studia Mathematica (1997)

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

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topGrosser, 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

top- [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. Zbl0411.46044
- [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.

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