Hyperinvariant subspace lattice of some -contractions
Michal Zajac (1981)
Mathematica Slovaca
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Displaying similar documents to “On Jordan models of -contractions”
Hyperinvariant subspace lattice of some -contractions
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A structure theory for Jordan -pairs
A. J. Calderón Martín, C. Martín González (2004)
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Jordan -pairs appear, in a natural way, in the study of Lie -triple systems ([3]). Indeed, it is shown in [4, Th. 3.1] that the problem of the classification of Lie -triple systems is reduced to prove the existence of certain -algebra envelopes, and it is also shown in [3] that we can associate topologically simple nonquadratic Jordan -pairs to a wide class of Lie -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)
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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)
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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)
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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.