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Krein Space Representations and Radon–Nikodým Theorem for Local α -Completely Positive MapsKrein Space Representations and Radon-Nikodym Theorem for Local α-Completely Positive Maps
- Other Titles
- Krein Space Representations and Radon-Nikodym Theorem for Local α-Completely Positive Maps
- Authors
- Heo, Jae seong; Ji, Un Cig
- Issue Date
- May-2021
- Publisher
- Birkhaeuser
- Keywords
- (local) α-Completely positive map; *-Algebra of noncommutative continuous functions; C∗-seminorm; Krein space; Krein space J-representation; Locally C∗-algebra; Quantized domain; ρ-Map
- Citation
- Complex Analysis and Operator Theory, v.15, no.4, pp 1 - 23
- Pages
- 23
- Indexed
- SCIE
SCOPUS
- Journal Title
- Complex Analysis and Operator Theory
- Volume
- 15
- Number
- 4
- Start Page
- 1
- End Page
- 23
- ISSN
- 1661-8254
1661-8262
- Abstract
- In this paper, we prove a Krein space J-representation theorem for local alpha-completely positive maps on locally C*-algebras. Using this representation, we construct a Krein space J-representation associated with a pair of two maps (phi, Phi) where phi is a local alpha-completely positive map on a locally C*-algebra and Phi is a phi-map. Also, we discuss the minimality of Krein space J-representations, and as an application, we establish the Radon-Nikodym theorem for local alpha-completely positive maps.
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)