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Isometries of certain operator spaces

Authors:	R. Khalil A. Saleh

Affiliation:	Department of Mathematics, University of Jordan, Amman 11942, Jordan ; Department of Mathematics, King Hussein University, Maan, Jordan

Abstract:	Let and be Banach spaces, and be the spaces of bounded linear operators from into In this paper we give full characterization of isometric onto operators of for a certain class of Banach spaces, that includes $ell ^{p},$ We also characterize the isometric onto operators of $L(c_{0})$ and $K(ell ^{1}),$ the compact operators on $ell ^{1}.$ Furthermore, the multiplicative isometric onto operators of $L(ell ^{1})$ , when multiplication on $L(ell ^{1})$ is taken to be the Schur product, are characterized.

Keywords:	Isometries operator spaces

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