Displaying similar documents to “Unbounded symmetric homogeneous domains in spaces of operators”

Holomorphic automorphisms of the unit ball of a direct sum

Carlo Petronio (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We endow the direct sum of two complex Banach spaces with a suitable norm, and we investigate the orbit of the origin for the group of holomorphic automorphisms of the outcoming unit ball.

Singular fractional linear systems and electrical circuits

Tadeusz Kaczorek (2011)

International Journal of Applied Mathematics and Computer Science

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A new class of singular fractional linear systems and electrical circuits is introduced. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and the Laplace transformation, the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional system if it contains at least one mesh consisting of branches only with an ideal supercapacitor and voltage sources...

Holomorphic isometries of Cartan domains of type four

Edoardo Vesentini (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The holomorphic isometries for the Kobayashi metric of Cartan domains of type four are characterized.

Attracting domains for semi-attractive transformations of C.

Monique Hakim (1994)

Publicacions Matemàtiques

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Let F be a germ of analytic transformation of (C, 0). We say that F is semi-attractive at the origin, if F' has one eigenvalue equal to 1 and if the other ones are of modulus strictly less than 1. The main result is: either there exists a curve of fixed points, or F - Id has multiplicity k and there exists a domain of attraction with k - 1 petals. We also study the case where F is a global isomorphism of C and F - Id has multiplicity k at the origin. This work has been inspired by two...