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## Banach Center Publications

1997 | 38 | 1 | 119-181
Tytuł artykułu

### Log-majorizations and norm inequalities for exponential operators

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Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Concise but self-contained reviews are given on theories of majorization and symmetrically normed ideals, including the proofs of the Lidskii-Wielandt and the Gelfand-Naimark theorems. Based on these reviews, we discuss logarithmic majorizations and norm inequalities of Golden-Thompson type and its complementary type for exponential operators on a Hilbert space. Furthermore, we obtain norm convergences for the exponential product formula as well as for that involving operator means.
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Tom
Numer
Strony
119-181
Opis fizyczny
Daty
wydano
1997
Twórcy
autor
• Department of Mathematics, Ibaraki University, Mito, Ibaraki 310, Japan
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