Zobrazeno 1 - 10
of 751
pro vyhledávání: '"DAS, SOMA"'
Autor:
Das, Soma, Sarkar, Jaydeb
We represent closed subspaces of the Hardy space that are invariant under finite-rank perturbations of the backward shift. We apply this to classify almost invariant subspaces of the backward shift and represent a more refined version of nearly invar
Externí odkaz:
http://arxiv.org/abs/2407.17352
We present complete classifications of paired operators on the Hilbert space $L^2(\mathbb{T})$ and Toeplitz + Hankel operators on vector-valued Hardy spaces. We introduce the notion of inner-paired operators defined on the Hardy space that use the cl
Externí odkaz:
http://arxiv.org/abs/2404.05435
In scalar-valued Hardy space, the class of Schmidt subspaces for a bounded Hankel operator are closely related to nearly $S^*$-invariant subspaces, as described by G\'{e}rard and Pushnitski. In this article, we prove that these subspaces in the conte
Externí odkaz:
http://arxiv.org/abs/2301.13080
Commutants and Complex Symmetry of Finite Blaschke Product Multiplication Operator in $\bm{L^2(\T)}$
Autor:
Chattopadhyay, Arup, Das, Soma
Consider the multiplication operator $M_{B}$ in $L^2(\T)$, where the symbol $B$ is a finite Blaschke product. In this article, we characterize the commutant of $M_{B}$ in $L^2(\T)$, noting the fact that $L^2(\T)$ is not an RKHS. As an application of
Externí odkaz:
http://arxiv.org/abs/2110.12453
In this article, we introduce a new class of conjugations in the scalar valued Hardy space $H^2_{\mathbb{C}}(\mathbb{D})$ and provide a characterization of a complex symmetric Toeplitz operator $T_{\phi}$ with respect to these newly introduced conjug
Externí odkaz:
http://arxiv.org/abs/2108.06945
Publikováno v:
Mathematische Nachrichten (2024)
Koplienko \cite{Ko} found a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\mathcal{B}_2(\mathcal{H})$. Later, Neidhardt introduced a similar formula in the case of pair of unitaries $(U,U_0)$ via mul
Externí odkaz:
http://arxiv.org/abs/2104.08864
Koplienko \cite{Ko} found a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\mathcal{B}_2(\mathcal{H})$. Later in 1988, a similar formula was obtained by Neidhardt \cite{NH} in the case of unitary oper
Externí odkaz:
http://arxiv.org/abs/2010.04039
Autor:
Chattopadhyay, Arup, Das, Soma
In this article, we briefly describe nearly $T^{-1}$ invariant subspaces with finite defect for a shift operator $T$ having finite multiplicity acting on a separable Hilbert space $\mathcal{H}$ as a generalization of nearly $T^{-1}$ invariant subspac
Externí odkaz:
http://arxiv.org/abs/2005.12786
Recently, Liang and Partington \cite{YP} show that kernels of finite-rank perturbations of Toeplitz operators are nearly invariant with finite defect under the backward shift operator acting on the scalar-valued Hardy space. In this article we provid
Externí odkaz:
http://arxiv.org/abs/2005.02255
In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this
Externí odkaz:
http://arxiv.org/abs/2005.02243