Relations between principal functions of p-hyponormal operators : Dedicated to Professor Sin-Ei Takahasi on his sixtieth birthday

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概要

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• Let T =U|T| be a bounded linear operator with the associated polar decomposition on a separable infinite dimensional Hilbert space. For 0 < t < 1, let T_t =|T|^tU|T|<SUP>1-t</SUP> and \fg_T and \fg<SUB>T_t</SUB> be the principal functions of T and T_t, respectively. We show that, if T is an invertible semi-hyponormal operator with trace class commutator [|T|, U], then \fg_T =\fg<SUB>T_t</SUB> almost everywhere on \bm{C}. As a biproduct we reprove Bergers theorem and index properties of invertible p-hyponormal operators.

• 2005-04-01

著者

• Cho Muneo

  Department Of Mathematics Kanagawa University

• HURUYA Tadasi

  Faculty of Education,Niigata University

• Huruya Tadasi

  Faculty Of Education And Human Sciences Niigata University

• CHO Muneo

  Department of Mathematics Joetsu University of Education

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