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Ordered Structures of Constructing Operators for Generalized Riesz Systems
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-25
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A sequence {φn} in a Hilbert space H with inner product <·,·> is called a generalized Riesz system if there exist an ONB e={en} in H and a densely defined closed operator T in H with densely defined inverse such that {en}⊂D(T)∩D((T-1)⁎) and Ten=φn, n=0,1,⋯, and (e,T) is called a constructing pair for {φn} and T is called a constructing operator for {φn}.
The main purpose of this paper is to investigate under what conditions the ordered set Cφ of all constructing operators for a generalized Riesz system {φn} has maximal elements, minimal elements, the largest element, and the smallest element in order to find constructing operators fitting to each of the physical applications.
American Psychological Association (APA)
Inoue, Hiroshi. 2018. Ordered Structures of Constructing Operators for Generalized Riesz Systems. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173453
Modern Language Association (MLA)
Inoue, Hiroshi. Ordered Structures of Constructing Operators for Generalized Riesz Systems. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1173453
American Medical Association (AMA)
Inoue, Hiroshi. Ordered Structures of Constructing Operators for Generalized Riesz Systems. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173453
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173453