Results 221 to 230 of about 7,615 (257)

Atypical Development of Functional Brain Networks in Neonates with Congenital Heart Disease. [PDF]

open access: yesJ Neurosci
Kim JH   +7 more
europepmc   +1 more source

On the Unitary Similarity of Matrix Families

Mathematical Notes, 2003
The classical Specht criterion for the unitary similarity between two complex n × n matrices is extended to the unitary similarity between two normal matrix sets of cardinality m. This property means that the algebra generated by a set is closed with respect to the conjugate transpose operation.
Kh D Ikramov, Ikramov Kh D, Al'Pin Yu A
exaly   +4 more sources

Eigenvalues of the Sum of Matrices from Unitary Similarity Orbits

SIAM Journal on Matrix Analysis and Applications, 2008
For a fixed (complex) matrix \(A\), its unitary similarity orbit is defined as \({\mathcal U}(A)=\{U^*AU: U~\text{unitary}\}\). The Davis-Wielandt (DW) shell of \(A\) is \[ \text{DW}(A)=\{(x^*Ax,x^*A^*Ax), \;x\in{\mathbb C}^n,\;\|x\|=1\}\subset {\mathbb C}\times {\mathbb R} \] which can be considered as an object in \({\mathbb R}^3\).
Chi-Kwong Li, Yiu Poon, Nung-Sing Sze
exaly   +2 more sources

Unitary similarity of entrywise conjugate matrices and unitary decomplexification

Journal of Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kh D Ikramov, Ikramov Kh D
exaly   +2 more sources

Unitary Similarity Preserving Linear Maps on B(H)

Integral Equations and Operator Theory, 2014
Let \(\mathcal{B(H)}\) be the algebra of all bounded linear operators on a Hilbert space \(\mathcal{H}\). For \(A,B\in \mathcal{B(H)}\) we say that \(A\) and \(B\) are unitarily similar whenever there exists a unitary operator \(U\in \mathcal{B(H)}\) such that \(A=U^{\ast }BU\). In the paper under review, the authors prove the following result.
Ali Taghavi   +2 more
exaly   +3 more sources

Finite algorithms for verifying unitary similarity and unitary congruence for a pair of complex matrices

Doklady Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kh D Ikramov, Ikramov Kh D
exaly   +3 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source

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   +3 more
openaire   +2 more sources

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