Subnormal Weighted Shifts on Directed Trees and Composition Operators in L 2-Spaces with Nondensely Defined Powers
Joint Authors
Dymek, Piotr
Jabłoński, Zenon Jan
Stochel, Jan
Budzyński, Piotr
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-19
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
It is shown that for every positive integer n there exists a subnormal weighted shift on a directed tree (with or without root) whose nth power is densely defined while its ( n + 1 )th power is not.
As a consequence, for every positive integer n there exists a nonsymmetric subnormal composition operator C in an L 2-space over a σ-finite measure space such that Cn is densely defined and C n + 1 is not.
American Psychological Association (APA)
Budzyński, Piotr& Dymek, Piotr& Jabłoński, Zenon Jan& Stochel, Jan. 2014. Subnormal Weighted Shifts on Directed Trees and Composition Operators in L 2-Spaces with Nondensely Defined Powers. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034001
Modern Language Association (MLA)
Budzyński, Piotr…[et al.]. Subnormal Weighted Shifts on Directed Trees and Composition Operators in L 2-Spaces with Nondensely Defined Powers. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1034001
American Medical Association (AMA)
Budzyński, Piotr& Dymek, Piotr& Jabłoński, Zenon Jan& Stochel, Jan. Subnormal Weighted Shifts on Directed Trees and Composition Operators in L 2-Spaces with Nondensely Defined Powers. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034001
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034001