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Preprint

Isometries of perfect norm ideals of compact operators

Behzod AminovNational University of Uzbekistan Tashkent, 700174, UzbekistanVladimir ChilinNational University of Uzbekistan Tashkent, 700174, Uzbekistan
Studia Mathematicajournal2017en
ABI

Abstract

It is proved that for every surjective linear isometry $V$ on a perfect Banach symmetric ideal $\mathcal C_E \not =\mathcal C_{2}$ of compact operators, acting in a complex separable infinite-dimensional Hilbert space $\mathcal H$, there exist unitary ope

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