Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Timotin, Dan"'
This paper contains sharp bounds on the coefficients of the polynomials $R$ and $S$ which solve the classical one variable B\'{e}zout identity $A R + B S = 1$, where $A$ and $B$ are polynomials with no common zeros. The bounds are expressed in terms
Externí odkaz:
http://arxiv.org/abs/2310.12734
In this paper, we obtain estimates for the solutions to the classical B{\'e}zout equation that are analogous to Carleson's solution to the corona theorem for the bounded analytic functions on the open unit disk. As an application, we extend some resu
Externí odkaz:
http://arxiv.org/abs/2205.00740
Using an explicit construction, we show that the de Branges-Rovnyak spaces $\mathscr{H}(b)$, corresponding to rational $b$, are contained in their associated Smirnov classes.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2012.10279
Using the Sz.-Nagy--Foias theory of contractions, we obtain general results about reducibility for a class of completely nonunitary contractions. These are applied to certain truncated Toeplitz operators, previously considered by Li--Yang--Lu and Gu.
Externí odkaz:
http://arxiv.org/abs/2012.06406
Autor:
Timotin, Dan
Using the tools of Sz.-Nagy--Foias theory of contractions, we describe in detail the invariant subspaces of the operator $ S\oplus S^* $, where $ S $ is the unilateral shift on a Hilbert space. This answers a question of C\^amara and Ross.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/2003.09399
This paper concerns a commutant lifting theorem and a Nevanlinna-Pick type interpolation result in the setting of multipliers from vector-valued Drury-Arveson space to a large class of vector-valued reproducing kernel Hilbert spaces over the unit bal
Externí odkaz:
http://arxiv.org/abs/1907.05439
Autor:
Khan, Muhammad Ahsan, Timotin, Dan
The maximal algebras of scalar Toeplitz matrices are known to be formed by generalized circulants. The identification of algebras consisting of block Toeplitz matrices is a harder problem, that has received little attention up to now. We consider the
Externí odkaz:
http://arxiv.org/abs/1811.04252
Autor:
Khan, Rewayat, Timotin, Dan
Matrix valued truncated Toeplitz operators act on vector-valued model spaces. They represent a generalization of block Toeplitz matrices. A characterization of these operators analogue to the scalar case is obtained, as well as the determination of t
Externí odkaz:
http://arxiv.org/abs/1704.02506
Truncated Toeplitz operators are compressions of multiplication operators on $L^2$ to model spaces (that is, subspaces of $H^2$ which are invariant with respect to the backward shift). For this class of operators we prove certain Szeg\"o type theorem
Externí odkaz:
http://arxiv.org/abs/1702.08147
Autor:
Bercovici, Hari, Timotin, Dan
We show that truncated Toeplitz operators are characterized by a collection of complex symmetries. This was conjectured by Klis-Garlicka, Lanucha, and Ptak, and proved by them in some special cases.
Externí odkaz:
http://arxiv.org/abs/1702.01222