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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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)|
|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|
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