scholarly journals Unbounded operators commuting with the commutant of a restricted backward shift

2010 ◽  
pp. 293-300 ◽  
Author(s):  
Donald Sarason
2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
Abdelkader Intissar

This paper is devoted to the study of the chaotic properties of some specific backward shift unbounded operatorsHp=A*pAP+1;p=0,1,…realized as differential operators in Bargmann space, whereAandA*are the standard Bose annihilation and creation operators such that[A,A*]=I.


Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.


2017 ◽  
Vol 8 (2) ◽  
pp. 199-210 ◽  
Author(s):  
Xinxing Wu ◽  
Lidong Wang ◽  
Guanrong Chen

Author(s):  
C. W. Groetsch ◽  
Martin Hanke

Abstract A simple numerical method for some one-dimensional inverse problems of model identification type arising in nonlinear heat transfer is discussed. The essence of the method is to express the nonlinearity in terms of an integro-differential operator, the values of which are approximated by a linear spline technique. The inverse problems are mildly ill-posed and therefore call for regularization when data errors are present. A general technique for stabilization of unbounded operators may be applied to regularize the process and a specific regularization technique is illustrated on a model problem.


Author(s):  
Israel Gohberg ◽  
Seymour Goldberg ◽  
Marinus A. Kaashoek

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