Displaying similar documents to “Subnormal operators of finite type II. Structure theorems.”

Subnormal operators of finite type I. Xia's model and real algebraic curves in C.

Dmitry V. Yakubovich (1998)

Revista Matemática Iberoamericana

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Xia proves in [9] that a pure subnormal operator S is completely determined by its self-commutator C = S*S - SS*, restricted to the closure M of its range and the operator Λ = (S*|M)*. In [9], [10], [11] he constructs a model for S that involves this two operators and the so-called mosaic, which is a projection-valued function, analytic outside the spectrum of the minimal normal extension of S. He finds all pure subnormals S with rank C = 2. We will give a complete description of pairs...

A model for some analytic Toeplitz operators

K. Rudol (1991)

Studia Mathematica

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We present a change of variable method and use it to prove the equivalence to bundle shifts for certain analytic Toeplitz operators on the Banach spaces H p ( G ) ( 1 ≤ p < ∞ ) . In Section 2 we see this approach applied in the analysis of essential spectra. Some partial results were obtained in [9] in the Hilbert space case.

Generalized eigenfunction expansions and spectral decompositions

Mihai Putinar (1997)

Banach Center Publications

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The paper relates several generalized eigenfunction expansions to classical spectral decomposition properties. From this perspective one explains some recent results concerning the classes of decomposable and generalized scalar operators. In particular a universal dilation theory and two different functional models for related classes of operators are presented.

Quasireducible operators.

Kubrusly, C. S. (2003)

International Journal of Mathematics and Mathematical Sciences

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