منابع مشابه
Commutation relations for truncated Toeplitz operators
For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space H2 , we obtain criteria for commutation relations. The results show an analogy to the case of Toeplitz matrices, and they extend the theory of Sedlock algebras. Mathematics subject classification (2010): 47B32, 47B35, 47B37.
متن کاملRecent Progress on Truncated Toeplitz Operators
This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason’s seminal paper [88] from 2007.
متن کاملToeplitz Operators on Locally Compact Abelian Groups
The problem of global optimization of M incoherent phase signals in N complex dimensions is formulated. Then, by using the geometric approach of Landau and Slepian, conditions for optimality are established for N 2, and the optimal signal sets are determined for M 2, 3, 4, 6 and 12. The method is the following: The signals are assumed to be equally probable and to have equal energy, and thus ar...
متن کاملBounded Symbols and Reproducing Kernel Thesis for Truncated Toeplitz Operators
Compressions of Toeplitz operators to coinvariant subspaces of H are called truncated Toeplitz operators. We study two questions related to these operators. The first, raised by Sarason, is whether boundedness of the operator implies the existence of a bounded symbol; the second is the Reproducing Kernel Thesis. We show that in general the answer to the first question is negative, and we exhibi...
متن کاملTruncated Toeplitz Operators and Boundary values in nearly invariant subspaces
We consider truncated Toeplitz operator on nearly invariant subspaces of the Hardy space H. Of some importance in this context is the boundary behavior of the functions in these spaces which we will discuss in some detail.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2016
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2016.01.023