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Unitary dilation for polar decompositions of $p$-hyponormal operators

Volume 67 / 2005

Muneo Chō, Tadasi Huruya, Kôtarô Tanahashi Banach Center Publications 67 (2005), 139-144 MSC: Primary 47B20; Secondary 47A10. DOI: 10.4064/bc67-0-11

Abstract

In this paper, we introduce the angular cutting and the generalized polar symbols of a $p$-hyponormal operator $T$ in the case where $U$ of the polar decomposition $T = U|T|$ is not unitary and study spectral properties of it.

Authors

  • Muneo ChōDepartment of Mathematics
    Kanagawa University
    Yokohama 221-8686, Japan
    e-mail
  • Tadasi HuruyaFaculty of Education and
    Human Sciences
    Niigata University
    Niigata 950-2181, Japan
    e-mail
  • Kôtarô TanahashiDepartment of Mathematics
    Tohoku Pharmaceutical University
    Sendai 981-8558, Japan
    e-mail

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