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Polar Decomposition And Dense Similarity To Unitary Operators

1993
Prigogine and Misra have shown that any K-dynamical system is densely similar to a Markov process converging to equilibrium. In their construction the self-adjoint operator realizing the dense similarity is a function of the positive part of the polar form of the Markov operator. In this work we show that this property holds in a very general framework.
N. Bertoglio   +2 more
openaire   +1 more source

On the Work by Serguei Naboko on the Similarity to Unitary and Selfadjoint Operators

Operator Theory: Advances and Applications, 2023
Dmitry V Yakubovich
exaly  

Simultaneous decomplexification of a pair of complex matrices via a unitary similarity transformation

Journal of Mathematical Sciences, 2012
A K Abdikalykov   +2 more
exaly  

On a constructive procedure for verifying whether a matrix can be made real by a unitary similarity transformation

Computational Mathematics and Mathematical Physics, 2010
Kh D Ikramov, Ikramov Kh D
exaly  

Unitary similarity invariant function preservers of skew products of operators

Journal of Mathematical Analysis and Applications, 2017
Jianlian Cui   +2 more
exaly  

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