On Properties of Class A(n) and n-Paranormal Operators
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Let n be a positive integer, and an operator T∈B(ℋ) is called a class A(n) operator if T1+n2/1+n≥|T|2 and n-paranormal operator if T1+nx1/1+n≥||Tx|| for every unit vector x∈ℋ, which are common generalizations of class A and paranormal, respectively.
In this paper, firstly we consider the tensor products for class A(n) operators, giving a necessary and sufficient condition for T⊗S to be a class A(n) operator when T and S are both non-zero operators; secondly we consider the properties for n-paranormal operators, showing that a n-paranormal contraction is the direct sum of a unitary and a C.0 completely non-unitary contraction.
American Psychological Association (APA)
Li, Xiaochun& Gao, Fugen. 2014. On Properties of Class A(n) and n-Paranormal Operators. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014384
Modern Language Association (MLA)
Li, Xiaochun& Gao, Fugen. On Properties of Class A(n) and n-Paranormal Operators. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014384
American Medical Association (AMA)
Li, Xiaochun& Gao, Fugen. On Properties of Class A(n) and n-Paranormal Operators. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014384
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014384