Zobrazeno 1 - 10
of 313
pro vyhledávání: '"Chattopadhyay, Arup"'
We establish higher order trace formulas for pairs of contractions along a multiplicative path generated by a self-adjoint operator in a Schatten-von Neumann ideal, removing earlier stringent restrictions on the kernel and defect operator of the cont
Externí odkaz:
http://arxiv.org/abs/2407.02789
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 3, Pp 365-377 (2020)
In this article, we consider Heisenberg uniqueness pairs corresponding to the exponential curve and surfaces, paraboloid, and sphere. Further, we look for analogous results related to the Heisenberg uniqueness pair on the Euclidean motion group and r
Externí odkaz:
https://doaj.org/article/e904dead32054dc1803d5d68b3732935
Let $n\in\mathbb{N}$ and let $H_0,V$ be self-adjoint operators such that $V$ is bounded and $V(H_0-i)^{-p}\in\mathcal{S}^{n/p}$ for $p=1,\ldots,n$. We prove the existence, uniqueness up to polynomial summands, and regularity properties of all higher
Externí odkaz:
http://arxiv.org/abs/2404.18422
Consider the set of unitary operators on a complex separable Hilbert space $\mathcal{H}$, denoted as $\mathcal{U}(\mathcal{H})$. Consider $1
Externí odkaz:
http://arxiv.org/abs/2404.08253
Autor:
Chattopadhyay, Arup, Jana, Supratim
In the classical Hardy space $H^2(\mathbb{D})$, it is well-known that the kernel of the Hankel operator is invariant under the action of shift operator S and sometimes nearly invariant under the action of backward shift operator $S^{*}$. It appears i
Externí odkaz:
http://arxiv.org/abs/2404.06067
In this note, we provide an elementary proof for the expression of $f(U)-f(V)$ in the form of a double operator integral for every Lipschitz function $f$ on the unit circle $\cir$ and for a pair of unitary operators $(U,V)$ with $U-V\in\mathcal{S}_{2
Externí odkaz:
http://arxiv.org/abs/2312.08706
In recent years, higher-order trace formulas of operator functions have attracted considerable attention to a large part of the perturbation theory community. In this direction, we prove estimates for traces of higher-order derivatives of multivariab
Externí odkaz:
http://arxiv.org/abs/2307.12604
The paper establishes the Krein and Koplienko trace formulas for multivariable operator functions on symmetrically normed ideals of bounded operators. This partially answers the question of Aleksandrov, Peller and Potapov on the existence of spectral
Externí odkaz:
http://arxiv.org/abs/2303.13298
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
Publikováno v:
Integral Equations Operator Theory 95 (2023), no. 3, Paper No. 20
We establish estimates and representations for the remainders of Taylor approximations of the spectral action functional $V\mapsto\tau(f(H_0+V))$ on bounded self-adjoint perturbations, where $H_0$ is a self-adjoint operator with $\tau$-compact resolv
Externí odkaz:
http://arxiv.org/abs/2301.09513