Proceedings of the American Mathematical Society

Author(s): R. Khalil; A. Saleh
Journal: Proc. Amer. Math. Soc. 132 (2004), 1473-1481.
MSC (2000): Primary 46B20; Secondary 46B04
Posted: October 3, 2003
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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 $\ell ^{p},$ $1<p<\infty .$ 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.

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R. Khalil
Affiliation: Department of Mathematics, University of Jordan, Amman 11942, Jordan
Email: roshdi@ju.edu.jo

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