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Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions

Title	Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions
Author	Domański, P., Karıksız, Can Deha
Publication Date:	2018
Publication Place	- Institute of Mathematics Polish Academy of Sciences
Subject	Space of real analytic functions, Weighted backward shift, Point spectrum, Hypercyclic operator
Type	Periodical
Language	English
Digital	Yes
Manuscript	No
Library:	Özyeğin University
Library Asset ID	0039-3223
Record ID	f20cabe3-5445-4d0f-9f42-53a07c3052b6
Library Location	Natural and Mathematical Sciences
Date	2018
Notes	National Center of Science (Poland) ; TÜBİTAK
Sample Text	Usually backward shift is neither chaotic nor hypercyclic. We will show that on the space A(Omega) of real analytic functions on a connected set Omega subset of R with 0 is an element of Omega, the backward shift operator is chaotic and sequentially hypercyclic. We give criteria for chaos and for many other dynamical properties for weighted backward shifts on A(Omega). For special classes of them we give full characterizations. We describe the point spectrum and eigenspaces of weighted backward shifts on A(Omega) as above.
DOI	10.4064/sm8739-6-2017
Cilt	242

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Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions

Author Domański, P., Karıksız, Can Deha

Publication Date 2018

Publication Place - Institute of Mathematics Polish Academy of Sciences

Subject Space of real analytic functions, Weighted backward shift, Point spectrum, Hypercyclic operator

Type Periodical

Language English

Digital Yes

Manuscript No

Library Özyeğin University

Library Asset ID 0039-3223

Record ID f20cabe3-5445-4d0f-9f42-53a07c3052b6

Library Location Natural and Mathematical Sciences

Date 2018

Notes National Center of Science (Poland) ; TÜBİTAK

Sample Text Usually backward shift is neither chaotic nor hypercyclic. We will show that on the space A(Omega) of real analytic functions on a connected set Omega subset of R with 0 is an element of Omega, the backward shift operator is chaotic and sequentially hypercyclic. We give criteria for chaos and for many other dynamical properties for weighted backward shifts on A(Omega). For special classes of them we give full characterizations. We describe the point spectrum and eigenspaces of weighted backward shifts on A(Omega) as above.

DOI 10.4064/sm8739-6-2017

Cilt 242