von Neumann's trace inequality for Hilbert–Schmidt operators

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Abstract

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”.

Detaljer

Författare
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)149-157
TidskriftExpositiones Mathematicae
Volym39
Utgåva nummer1
Tidigt onlinedatum2020
StatusPublished - 2021
PublikationskategoriForskning
Peer review utfördJa