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

Name: Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions
Author: Domański, P., Karıksız, Can Deha

İsim	Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions
Yazar	Domański, P., Karıksız, Can Deha
Basım Tarihi:	2018
Basım Yeri	- Institute of Mathematics Polish Academy of Sciences
Konu	Space of real analytic functions, Weighted backward shift, Point spectrum, Hypercyclic operator
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0039-3223
Kayıt Numarası	f20cabe3-5445-4d0f-9f42-53a07c3052b6
Lokasyon	Natural and Mathematical Sciences
Tarih	2018
Notlar	National Center of Science (Poland) ; TÜBİTAK
Örnek Metin	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

Yazar Domański, P., Karıksız, Can Deha

Basım Tarihi 2018

Basım Yeri - Institute of Mathematics Polish Academy of Sciences

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

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0039-3223

Kayıt Numarası f20cabe3-5445-4d0f-9f42-53a07c3052b6

Lokasyon Natural and Mathematical Sciences

Tarih 2018

Notlar National Center of Science (Poland) ; TÜBİTAK

Örnek Metin 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