Well-behaved unbounded operator representations and unbounded $C^*$-seminorms
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.
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1191418638
Digital Object Identifier: doi:10.2969/jmsj/1191418638
Mathematical Reviews number (MathSciNet): MR2048467
Zentralblatt MATH identifier: 1083.47065