## Journal of the Mathematical Society of Japan

### Well-behaved unbounded operator representations and unbounded $C^*$-seminorms

#### Abstract

The first purpose is to characterize the existence of well-behaved $*$-representations of locally convex $*$-algebras by unbounded $C^*$-seminorms. The second is to define the notion of spectral $*$-representations and to characterize the existence of spectral well-behaved $*$-representations by unbounded $C^*$-seminorms.

#### Article information

Source
J. Math. Soc. Japan, Volume 56, Number 2 (2004), 417-445.

Dates
First available in Project Euclid: 3 October 2007

https://projecteuclid.org/euclid.jmsj/1191418638

Digital Object Identifier
doi:10.2969/jmsj/1191418638

Mathematical Reviews number (MathSciNet)
MR2048467

Zentralblatt MATH identifier
1083.47065

#### Citation

J. BHATT, Subhash; INOUE, Atsushi; KÜRSTEN, Klaus-Detlef. Well-behaved unbounded operator representations and unbounded $C^*$ -seminorms. J. Math. Soc. Japan 56 (2004), no. 2, 417--445. doi:10.2969/jmsj/1191418638. https://projecteuclid.org/euclid.jmsj/1191418638