Abstract
Let be a bounded linear operator with the associated polar decomposition on a separable infinite dimensional Hilbert space. For , let and and be the principal functions of and , respectively. We show that, if is an invertible semi-hyponormal operator with trace class commutator , then almost everywhere on . As a biproduct we reprove Berger's theorem and index properties of invertible -hyponormal operators.
Citation
Muneo CHŌ. Tadasi HURUYA. "Relations between principal functions of p-hyponormal operators." J. Math. Soc. Japan 57 (2) 605 - 618, April, 2005. https://doi.org/10.2969/jmsj/1158242073
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