On a -polar decomposition of a bounded operator and matrices of -symmetric and -skew-symmetric operators.

Zagorodnyuk, Sergey M.

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Displaying similar documents to “On a $J$ -polar decomposition of a bounded operator and matrices of $J$ -symmetric and $J$ -skew-symmetric operators.”

Characterization and properties of (Pσ, Q) symmetric and co-symmetric matrices

William F. Trench (2014)

Special Matrices

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Let P ∈ ℂmxm and Q ∈ ℂn×n be invertible matrices partitioned as P = [P0 P1 · · · Pk−1] and Q = [Q0 Q1 · · · Qk−1], with P ℓ ∈ ℂm×mℓ and Qℓ ∈ ℂn×nℓ , 0 ≤ ℓ ≤ k − 1. Partition P−1 and Q−1 as [...] where P̂ℓ ∈ ℂmℓ ×m, Q̂ℓ ∈ ℂnℓ×n , P̂ℓPm = δℓmImℓ , and Q̂ℓQm = δℓmInℓ , 0 ≤ ℓ, m ≤ k − 1. Let Zk = {0, 1, . . . , k − 1}. We study matrices A = [...] Pσ(ℓ)FℓQℓ and B = [...] QℓGℓPσ(ℓ), where σ : Zk → Zk. Special cases: A = [...] and B = [...] , where Aℓ ∈ ℂd1×d2 and Bℓ ∈ ℂd2×d1, 0 ≤ ℓ ≤ k − 1. ...

The linear symmetric systems associated with the modified Cherednik operators and applications

Hatem Mejjaoli (2012)

Annales mathématiques Blaise Pascal

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We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.

On the complex symmetric and skew-symmetric operators with a simple spectrum.

Zagorodnyuk, Sergey M. (2011)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type III: The Heun case.

Ruijsenaars, Simon N.M. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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On a reverse of Ando-Hiai inequality.

Seo, Yuki (2010)

Banach Journal of Mathematical Analysis [electronic only]

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Norm of a derivation and hyponormal operators.

Mohamed Barraa, Mohamed Boumazgour (2001)

Extracta Mathematicae

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Matrix order in Bohr inequality for operators.

Fujii, Masatoshi, Zuo, Hongliang (2010)

Banach Journal of Mathematical Analysis [electronic only]

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On the $Φ$ class operators.

Bachir, A., Segres, A. (2009)

International Journal of Open Problems in Computer Science and Mathematics. IJOPCM

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Noncommutative analogs of symmetric polynomials

Maciej Burnecki (1993)

Colloquium Mathematicae

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On a Five-Diagonal Jacobi Matrices and Orthogonal Polynomials on Rays in the Complex Plane

Zagorodniuk, S. (1998)

Serdica Mathematical Journal

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∗ Partially supported by Grant MM-428/94 of MESC. Systems of orthogonal polynomials on the real line play an important role in the theory of special functions [1]. They find applications in numerous problems of mathematical physics and classical analysis. It is known, that classical polynomials have a number of properties, which uniquely define them.

Displaying similar documents to “On a J -polar decomposition of a bounded operator and matrices of J -symmetric and J -skew-symmetric operators.”

Displaying similar documents to “On a $J$ -polar decomposition of a bounded operator and matrices of $J$ -symmetric and $J$ -skew-symmetric operators.”