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A unitary similarity transform of a normal matrix to complex symmetric form

Applied Mathematics Letters, 2011
In this work a new unitary similarity transformation of a normal matrix to complex symmetric form will be discussed. A constructive proof as well as some properties and examples will be given.sponsorship: The author has a grant as “Postdoctoraal ...
Raf Vandebril
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Unitary similarity of the determinantal representation of unitary bordering matrices

Linear Algebra and its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chien, Mao-Ting, Nakazato, Hiroshi
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Similarity and Unitary Equivalence

2015
In this chapter, we will apply those methods developed in Chaps. 3–6 to study similarity and unitary equivalence of multiplication operators, defined on both the Hardy space and the Bergman space.
Kunyu Guo, Hansong Huang
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Unitary Equivalence, Similarity and Calculation of K 0–Group

Acta Mathematica Sinica, English Series, 2005
Given a bounded domain \(\Omega\) in the complex plane, the authors consider the Cowen--Douglas class \(B_1(\Omega)\) and provide an equivalent characterization of the similarity between two operators \(T,S\in B_1(\Omega)\) in terms of the maximal ideal structure of the commutant of \(T\oplus S\).
He, Hua, Jiang, Chun Lan
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Similarity of unitary Ca2+ currents in three different species

Nature, 1982
Membrane Ca2+ currents are the triggers for numerous cellular activities such as secretions, contraction, and oscillations in neural discharge. Different Ca2+ channels are assumed to subserve the various functions; this does not apply to Na+ currents for which there is thought to be only one type of channel.
A M, Brown, H, Camerer, D L, Kunze, H D, Lux   +3 more
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Distance to the convex hull of the unitary orbit with respect to unitary similarity invariant norms

Linear and Multilinear Algebra, 1989
Let A B be Hermitian matrices. Denote by co the convex hull of the unitary orbit of B. We determine the matrices BM and Bm in co such that for all X∊ co and all unitary similarity invariant norms ∣∣sdot;∣∣, ie., those norms ∣∣sdot;∣∣ satisfying ∣∣UXU ∗∣∣=∣∣X∣∣ for any Hermitian X and unitary U.
Chi-Kwong Li, Nam-Kiu Tsing
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Unitary similarity of matrices with simple eigenvalues

Doklady Mathematics, 2011
Matrices \(A, B \in M_n(\mathbb{C})\) are unitarily similar if there exists an unitary matrix \(U\) such that \(B=UAU^*\). This paper deals with the verification of matrices for unitary similarity. Based on other authors' works concerning this problem, a basic approach consists of constructing a canonical form of matrices with respect to unitary ...
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Unitary similarity and the numerical radius preservers

Linear Algebra and its Applications
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Abdellatif Bourhim, Mohamed Mabrouk
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Contractions being Weakly Similar to Unitaries

1986
In this paper contractions being weakly similar in a certain sense to unitary operators are studied. Extending the investigations of [12], where only cyclic contractions were considered, it is examined when a contraction T, weakly similar to unitary possesses the bicommutant property Alg T = {T}″. Finally, a characterization of cyclic C11 -contractions
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Conditions for similarity to unitary and self-adjoint operators

Functional Analysis and Its Applications, 1984
In this article the new integral conditions \(\sup_{| \lambda | >1}(| \lambda |^ 2-1)\int^{2\pi}_{0}\| (T-\lambda)^{- 1}u\|^ 2d\theta \leq C\| u\|^ 2\) and \(\sup_{| \lambda | >1}(1-| \lambda |^{-2})\int^{2\pi}_{0}\| (T^*- \lambda)^{-1}u\|^ 2d\theta \leq C\| u\|^ 2\) (u\(\in H)\) on the resolvent of the operator T are given, necessary and sufficient ...
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