Ordered Structures of Constructing Operators for Generalized Riesz Systems

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 p...

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Bibliographic Details
Main Author: Hiroshi Inoue
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2018/3268251