Spectral well-behaved *-representations

S. J. Bhatt¹, M. Fragoulopoulou², A. Inoue³
Banach Center Publ. 67 (2005), 123-131
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 Pt\'{a}k function.

MSC (2000): 46K10, 47L60.
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Department of Mathematics
Sardar Patel University
Vallabh Vidyanagar 388120
India
Department of Mathematics
University of Athens
Panepistemiopolis, Athens 15784
Greece
Department of Applied Mathematics
Fukuoka University
Nanakuma, Jonan-ku, Fukuoka 814-0180
Japan