# A survey of certain trace inequalities

Banach Center Publications (1994)

- Volume: 30, Issue: 1, page 287-298
- ISSN: 0137-6934

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topPetz, Dénes. "A survey of certain trace inequalities." Banach Center Publications 30.1 (1994): 287-298. <http://eudml.org/doc/262566>.

@article{Petz1994,

abstract = {This paper concerns inequalities like TrA ≤ TrB, where A and B are certain Hermitian complex matrices and Tr stands for the trace. In most cases A and B will be exponential or logarithmic expressions of some other matrices. Due to the interest of the author in quantum statistical mechanics, the possible applications of the trace inequalities will be commented from time to time. Several inequalities treated below have been established in the context of Hilbert space operators or operator algebras. Notwithstanding these extensions our discussion will be limited to matrices.},

author = {Petz, Dénes},

journal = {Banach Center Publications},

keywords = {trace inequalities; Hermitian complex matrices; Hilbert space operators; operator algebras},

language = {eng},

number = {1},

pages = {287-298},

title = {A survey of certain trace inequalities},

url = {http://eudml.org/doc/262566},

volume = {30},

year = {1994},

}

TY - JOUR

AU - Petz, Dénes

TI - A survey of certain trace inequalities

JO - Banach Center Publications

PY - 1994

VL - 30

IS - 1

SP - 287

EP - 298

AB - This paper concerns inequalities like TrA ≤ TrB, where A and B are certain Hermitian complex matrices and Tr stands for the trace. In most cases A and B will be exponential or logarithmic expressions of some other matrices. Due to the interest of the author in quantum statistical mechanics, the possible applications of the trace inequalities will be commented from time to time. Several inequalities treated below have been established in the context of Hilbert space operators or operator algebras. Notwithstanding these extensions our discussion will be limited to matrices.

LA - eng

KW - trace inequalities; Hermitian complex matrices; Hilbert space operators; operator algebras

UR - http://eudml.org/doc/262566

ER -

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