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Proceedings of the American Mathematical Society
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Remarks on a result of Khalil and Saleh

Author(s): T. S. S. R. K. Rao
Journal: Proc. Amer. Math. Soc. 133 (2005), 1721-1722.
MSC (2000): Primary 46B20
Posted: December 20, 2004
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Abstract | References | Similar articles | Additional information

Abstract: We give a short proof of a recent result that describes onto isometries of $L(X,Y)$ for certain pairs of Banach spaces $X,Y$.


References:

1.
E. Behrends, M-structure and the Banach-Stone theorem, Springer LNM No. 736, Springer, Berlin, 1979. MR 0547509 (81b:46002)

2.
C. M. Cho, Spaces of compact operators which are $M$-ideals in $\mathcal{L}(X,Y)$, Internat. J. Math. and Math. Sci. 15 (1992) 617-620. MR 1169829 (93h:47054)

3.
P. Harmand, D. Werner and W. Werner, $M$-ideals in Banach spaces and Banach algebras, Springer LNM No. 1547, Springer, Berlin 1993. MR 1238713 (94k:46022)

4.
R. Khalil and A. Saleh, Isometries of certain operator spaces, Proc. Amer. math. Soc., 132 (2004) 1483-1493. MR 2053355

5.
T. S. S. R. K. Rao, Space of compact operators as an $M$-ideal in its bidual, Extracta Mathematicae 7 (1993) 114-118. MR 1248457 (94k:46037)


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Additional Information:

T. S. S. R. K. Rao
Affiliation: Stat--Math Unit, Indian Statistical Institute, R. V. College P.O., Bangalore 560059, India
Email: tss@isibang.ac.in

DOI: 10.1090/S0002-9939-04-07701-9
PII: S 0002-9939(04)07701-9
Keywords: Isometries, $M$-embedded spaces
Received by editor(s): October 11, 2003
Received by editor(s) in revised form: February 6, 2004
Posted: December 20, 2004
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2004, American Mathematical Society


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