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Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals

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Formisano, Teresa and Kissin, Edward (2014) Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals. Integral Equations and Operator Theory, 79 (2). pp. 151-173. ISSN 0378-620X

Abstract

In this paper we obtain generalized Clarkson-McCarthy inequalities for spaces lq(Sp) of operators from Schatten ideals Sp. We show that all Clarkson-McCarthy type inequalities are, in fact, some estimates on the norms of operators acting on the spaces lq(Sp) or from one such space into another. We also extend some inequalities for partitioned operators and for Cartesian decomposition of operators.

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Title:
Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals
Creators:
Formisano, Teresa and Kissin, Edward
Contributors:
ContributionNameEmailAffiliationAffiliation TypeORCID
AuthorUNSPECIFIEDUNSPECIFIEDUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Identification Number:
https://doi.org/10.1007/s00020-014-2145-x
Official URL:
http://dx.doi.org/10.1007/s00020-014-2145-x
Date:
18 April 2014
Subjects:
500 Natural Sciences and Mathematics > 510 Mathematics
Department:
School of Human Sciences
Uncontrolled Keywords:
Clarkson-McCarthy inequalities; Spaces lq(Sp)
Additional Information:
The final publication is available at link.springer.com.
Record
URI:
https://repository.londonmet.ac.uk/id/eprint/1012
Item Type:
Article
Depositing User:
Edward Kissin
Date Deposited:
16 Jun 2016 08:37
Revision:
16
Last Modified:
22 Jun 2020 14:41
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