Well-behaved unbounded operator representations and unbounded C*-seminorms

Subhash J. BHATT; Atsushi INOUE; Klaus-Detlef KÜRSTEN

doi:10.2969/jmsj/1191418638

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

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

Subhash J. BHATT, Atsushi INOUE, Klaus-Detlef KÜRSTEN

著者情報

キーワード: well-behaved *-representations, unbounded $C^{*}$-seminorms, locally convex *-algebras, (hereditary) spectral *-representations

ジャーナルフリー

2004 年 56 巻 2 号 p. 417-445

DOI https://doi.org/10.2969/jmsj/1191418638

詳細

抄録

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.