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von Neumann's trace...
von Neumann's trace inequality for Hilbert–Schmidt operators
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- Carlsson, Marcus (author)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- Elsevier BV, 2021
- 2021
- English.
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In: Expositiones Mathematicae. - : Elsevier BV. - 0723-0869. ; 39:1, s. 149-157
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Abstract
Subject headings
Close
- von Neumann's inequality in matrix theory refers to the fact that the Frobenius scalar product of two matrices is less than or equal to the scalar product of the respective singular values. Moreover, equality can only happen if the two matrices share a joint set of singular vectors, and this latter part is hard to find in the literature. We extend these facts to the separable Hilbert space setting, and provide a self-contained proof of the “latter part”.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Hilbert–Schmidt class
- Inequalities on singular values
- Trace inequality
Publication and Content Type
- art (subject category)
- ref (subject category)
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