A Similarity Invariant and the Commutant of some Multiplication Operators on the Sobolev Disk Algebra
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-02
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Let R(?) be the algebra generated in Sobolev space W22(?) by the rational functions with poles outside the unit disk ?¯.
In this paper, we study the similarity invariant of the multiplication operators Mg in ℒ(R(?)), when g is univalent analytic on ? or Mg is strongly irreducible.
And the commutants of multiplication operators whose symbols are composite functions, univalent analytic functions, or entire functions are studied.
American Psychological Association (APA)
Zhao, Ruifang. 2012. A Similarity Invariant and the Commutant of some Multiplication Operators on the Sobolev Disk Algebra. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-467293
Modern Language Association (MLA)
Zhao, Ruifang. A Similarity Invariant and the Commutant of some Multiplication Operators on the Sobolev Disk Algebra. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-467293
American Medical Association (AMA)
Zhao, Ruifang. A Similarity Invariant and the Commutant of some Multiplication Operators on the Sobolev Disk Algebra. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-467293
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467293