Results 221 to 230 of about 7,615 (257)
Atypical Development of Functional Brain Networks in Neonates with Congenital Heart Disease. [PDF]
Kim JH +7 more
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On the Unitary Similarity of Matrix Families
Mathematical Notes, 2003The 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
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Eigenvalues of the Sum of Matrices from Unitary Similarity Orbits
SIAM Journal on Matrix Analysis and Applications, 2008For 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
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Unitary similarity of entrywise conjugate matrices and unitary decomplexification
Journal of Mathematical Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kh D Ikramov, Ikramov Kh D
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Unitary Similarity Preserving Linear Maps on B(H)
Integral Equations and Operator Theory, 2014Let \(\mathcal{B(H)}\) 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
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Doklady Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kh D Ikramov, Ikramov Kh D
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Kh D Ikramov, Ikramov Kh D
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Unitary similarity of the determinantal representation of unitary bordering matrices
Linear Algebra and its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chien, Mao-Ting, Nakazato, Hiroshi
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Similarity and Unitary Equivalence
2015In 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, 2005Given 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, 1982Membrane 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
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