Let A be the Banach algebra 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.
@article{bwmeta1.element.bwnjournal-article-smv124i3p291bwm, author = {Michael Grosser}, title = {Quasi-multipliers of the algebra of approximable operators and its duals}, journal = {Studia Mathematica}, volume = {122}, year = {1997}, pages = {291-300}, zbl = {0893.46041}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv124i3p291bwm} }
Grosser, Michael. Quasi-multipliers of the algebra of approximable operators and its duals. Studia Mathematica, Tome 122 (1997) pp. 291-300. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv124i3p291bwm/
[00000] [AR] Z. Argün and K. Rowlands, On quasi-multipliers, Studia Math. 108 (1994), 217-245.
[00001] [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. | Zbl 0411.46044
[00002] [G1] M. Grosser, Bidualräume und Vervollständigungen von Banachmoduln, Lecture Notes in Math. 717, Springer, Berlin, 1979.
[00003] [G2] M. Grosser, Module tensor products of with its dual, in: Functions, Series, Operators, Vols. I, II (Budapest, 1980), Colloq. Math. Soc. János Bolyai 35, North-Holland, Amsterdam, 1983, 551-560.