On Jordan models of $C_0$-contractions

Vladimir Müller

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Displaying similar documents to “On Jordan models of $C_{0}$ -contractions”

Hyperinvariant subspace lattice of some $C_{0}$ -contractions

Michal Zajac (1981)

Mathematica Slovaca

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A note on general dilation theorems

W. Mlak (1982)

Banach Center Publications

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A structure theory for Jordan $H^{*}$ -pairs

A. J. Calderón Martín, C. Martín González (2004)

Bollettino dell'Unione Matematica Italiana

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Jordan $H^{*}$ -pairs appear, in a natural way, in the study of Lie $H^{*}$ -triple systems ([3]). Indeed, it is shown in [4, Th. 3.1] that the problem of the classification of Lie $H^{*}$ -triple systems is reduced to prove the existence of certain $L^{*}$ -algebra envelopes, and it is also shown in [3] that we can associate topologically simple nonquadratic Jordan $H^{*}$ -pairs to a wide class of Lie $H^{*}$ -triple systems and then the above envelopes can be obtained from a suitable classification, in terms of associative...

On the range of a normal Jordan $^{*}$ -derivation

Lajos Molnár (1994)

Commentationes Mathematicae Universitatis Carolinae

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In this note, by means of the spectrum of the generating operator, we characterize the self-adjointness and closedness of the range of a normal and a self-adjoint Jordan *-derivation, respectively.

Hilbert spaces of analytic functions of infinitely many variables

O. V. Lopushansky, A. V. Zagorodnyuk (2003)

Annales Polonici Mathematici

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We study spaces of analytic functions generated by homogeneous polynomials from the dual space to the symmetric Hilbertian tensor product of a Hilbert space. In particular, we introduce an analogue of the classical Hardy space H² on the Hilbert unit ball and investigate spectral decomposition of unitary operators on this space. Also we prove a Wiener-type theorem for an algebra of analytic functions on the Hilbert unit ball.

The spectrally bounded linear maps on operator algebras

Jianlian Cui, Jinchuan Hou (2002)

Studia Mathematica

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We show that every spectrally bounded linear map Φ from a Banach algebra onto a standard operator algebra acting on a complex Banach space is square-zero preserving. This result is used to show that if Φ₂ is spectrally bounded, then Φ is a homomorphism multiplied by a nonzero complex number. As another application to the Hilbert space case, a classification theorem is obtained which states that every spectrally bounded linear bijection Φ from ℬ(H) onto ℬ(K), where H and K are infinite-dimensional...

Analytic properties of the spectrum in Banach Jordan Systems.

Gerald Hessenberger (1996)

Collectanea Mathematica

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For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense G delta-set of points of continuity, and the scarcity theorem holds.

Displaying similar documents to “On Jordan models of C 0 -contractions”

Hyperinvariant subspace lattice of some C 0 -contractions

A note on general dilation theorems

A structure theory for Jordan H * -pairs

On the range of a normal Jordan * -derivation

Hilbert spaces of analytic functions of infinitely many variables

The spectrally bounded linear maps on operator algebras

Analytic properties of the spectrum in Banach Jordan Systems.

Displaying similar documents to “On Jordan models of $C_{0}$ -contractions”

Hyperinvariant subspace lattice of some $C_{0}$ -contractions

A structure theory for Jordan $H^{*}$ -pairs

On the range of a normal Jordan $^{*}$ -derivation