Commutativity, Majorization, and Reduction in Fan–Theobald–von Neumann Systems

Gowda, M. Seetharama; Jeong, Juyoung

doi:10.1007/s00025-023-01845-2

Results Math

2023

DOI: 10.1007/s00025-023-01845-2

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Commutativity, Majorization, and Reduction in Fan–Theobald–von Neumann Systems

M. Seetharama Gowda

Juyoung Jeong

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Cited by 3 publications

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“…The interested reader is referred to [3]- [10], [14]- [23], [25]- [29] for applications of Eaton triples. A generalization of the notion of Eaton triple is the concept of Fan-Theobald-von Neumann (FTvN) systems (see [10]).…”

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confidence: 99%

Refinement of von Neumann-type inequalities on product Eaton triples

Niezgoda

2023

ELA

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In this paper, a von Neumann-type inequality is studied on an Eaton triple $ (V,G,D) $, where $ V $ is a real inner product space, $ G $ is a compact subgroup of the orthogonal group $ O (V) $, and $ D \subset V $ is a closed convex cone. By using an inner structure of an Eaton triple, a refinement of this inequality is shown. In the special case $ G = O ( V ) $, a refinement of the Cauchy-Schwarz inequality is obtained.

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confidence: 99%

Refinement of von Neumann-type inequalities on product Eaton triples

Niezgoda

2023

ELA

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Eigenvalue programming beyond matrices

Ito,

Lourenço

2024

Comput Optim Appl

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Transfer Principles, Fenchel Conjugate, and Subdifferential Formulas in Fan-Theobald-von Neumann Systems

Jeong,

Gowda

2024

J Optim Theory Appl

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Commutativity, Majorization, and Reduction in Fan–Theobald–von Neumann Systems

Cited by 3 publications

References 24 publications

Refinement of von Neumann-type inequalities on product Eaton triples

Refinement of von Neumann-type inequalities on product Eaton triples

Eigenvalue programming beyond matrices

Transfer Principles, Fenchel Conjugate, and Subdifferential Formulas in Fan-Theobald-von Neumann Systems

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