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On density of transitive operator algebrasopen access
- Authors
- Heo, Jaeseong
- Issue Date
- May-2010
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Transitive set; Transitive operator algebra; Invariant projection (subspace); Free group factor
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.365, no.1, pp.308 - 314
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 365
- Number
- 1
- Start Page
- 308
- End Page
- 314
- ISSN
- 0022-247X
- Abstract
- In this paper we study the transitive algebra question by considering the invariant subspace problem relative to von Neumann algebras. We prove that the algebra (not necessarily *) generated by a pair of sums of two unitary generators of L(F(infinity)) and its commutant is strong-operator dense in B(H). The relations between the transitive algebra question and the invariant subspace problem relative to some von Neumann algebras are discussed.
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)