A+ CATEGORY SCIENTIFIC UNIT

Spectral well-behaved $*$-representations

Volume 67 / 2005

S. J. Bhatt, M. Fragoulopoulou, A. Inoue Banach Center Publications 67 (2005), 123-131 MSC: 46K10, 47L60. DOI: 10.4064/bc67-0-9

Abstract

In this brief account we present the way of obtaining unbounded $*$-representations in terms of the so-called “unbounded” $C^*$-seminorms. Among such $*$-representations we pick up a special class with “good behaviour” and characterize them through some properties of the Pták function.

Authors

  • S. J. BhattDepartment of Mathematics
    Sardar Patel University
    Vallabh Vidyanagar 388120
    India
    e-mail
  • M. FragoulopoulouDepartment of Mathematics
    University of Athens
    Panepistemiopolis, Athens 15784
    Greece
    e-mail
  • A. InoueDepartment of Applied Mathematics
    Fukuoka University
    Nanakuma, Jonan-ku, Fukuoka 814-0180
    Japan
    e-mail

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