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THE DISTANCE FORMULA FOR THE DERIVATION PROBLEM
- Authors
- Heo, Jaeseong
- Issue Date
- Aug-2015
- Publisher
- INDIAN NAT SCI ACAD
- Keywords
- Type II factor; distance of two C*-algebras; derivation
- Citation
- INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, v.46, no.4, pp.489 - 494
- Indexed
- SCIE
SCOPUS
- Journal Title
- INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
- Volume
- 46
- Number
- 4
- Start Page
- 489
- End Page
- 494
- ISSN
- 0019-5588
- Abstract
- In this paper we discuss questions related to the perturbation of von Neumann algebras. We will show that the distance between an arbitrary operator of M and the commutant M' is the same as the distance from the same operator to the trivial center CI of M where M is a type II-factor in a separable Hilbert space. As a consequence, the derivation implemented by some element x is an element of M has the same norm as the distance from x to the commutant M'.
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)