Minimax in the theory of operators on Hilbert spaces and Clarkson-McCarthy estimates for lq (Sp) spaces of operators in the Schatten ideals

Formisano, Teresa (2014) Minimax in the theory of operators on Hilbert spaces and Clarkson-McCarthy estimates for lq (Sp) spaces of operators in the Schatten ideals. Doctoral thesis, London Metropolitan University.

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Abstract

The main results in this thesis are the minimax theorems for operators in Schatten ideals of compact operators acting on separable Hilbert spaces, generalized Clarkson-McCarthy inequalities for vector lq-spaces lq (Sp) of operators from Schatten ideals Sp, inequalities for partitioned operators and for Cartesian decomposition of operators. 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.

Item Type: Thesis (Doctoral)
Additional Information: uk.bl.ethos.633010
Uncontrolled Keywords: Hilbert space; Linear operators; Matrix inequalities
Subjects: 500 Natural Sciences and Mathemetics > 510 Mathematics
Department: School of Human Sciences
Depositing User: Mary Burslem
Date Deposited: 16 Aug 2016 13:34
Last Modified: 16 Aug 2016 13:34
URI: http://repository.londonmet.ac.uk/id/eprint/1099

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