Results 71 to 80 of about 2,927,156 (202)

Spectrum of a composition operator

open access: yes, 1973
A composition operator is a linear operator induced on a subspace of K X {K^X} by a point transformation ϕ \phi on a set X (where K denotes the scalar field) by the formula
William C. Ridge
core   +1 more source

A Linear Composition Operator on the Bloch Space

open access: yesMathematics
Let n∈N0, ψ be an analytic self-map on D and u be an analytic function on D. The single operator Du,ψn acting on various spaces of analytic functions has been a subject of investigation for many years.
Xiangling Zhu, Qinghua Hu
doaj   +1 more source

Composition operators on $F^{+}$ [PDF]

open access: yesStudia Mathematica, 1976
Roberts, James W., Stoll, Manfred
openaire   +2 more sources

Spectra of Some Composition Operators

open access: yesJournal of Functional Analysis, 1994
If \(\mathcal H\) is a Hilbert space of holomorphic functions on the unit ball \(B_ N\) in \({\mathbf C}^ N\) and \(\phi\) is a non-constant holomorphic map of the unit ball into itself, the composition operator \(C_ \varphi\) is the operator on \(\mathcal H\) defined by \(C_ \varphi f= f\circ \varphi\). The authors give spectral properties for bounded
Cowen, C.C., Maccluer, B.D.
openaire   +1 more source

Higher orderdifferentiability properties of the composition and of theinversion operator

open access: yes, 1994
This paper contains theorems of r-th order Frechet differentiability, with r greater-than-or-equal-to 1, for the autonomous composition operator and for the inversion operator in Schauder spaces.
LANZA DE CRISTOFORIS, MASSIMO
core   +1 more source

Some results on composition operators on ℓ2

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
A necessary and sufficient condition for a bounded operator to be a composition operator is investigated in this paper. Normal, quasi-hyponormal, paranormal composition operators are characterised.
R. K. Singh, D. K. Gupta, B. S. Komal
doaj   +1 more source

Integral type operators from normal weighted Bloch spaces to QT,S spaces

open access: yesJournal of Hebei University of Science and Technology, 2016
Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
doaj   +1 more source

The formal Laplace-Borel transform of Fliess operators and the composition product

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
doaj   +1 more source

Maximal functions and subordination for operator groups. [PDF]

open access: yes, 2002
Let E be a UMD Banach space and L a positive and self-adjoint operator in L^2 of Laplace type such that the imaginary powers L^{-it} form a C_0 group of exponential growth on L^p(E).
Blower, Gordon
core   +2 more sources

The Composition Operator on Mixed-Norm Lebesgue Spaces

open access: yes
It is known that the boundedness of the composition operator on Lebesgue spaces is equivalent to the integrability of the volume derivative of the measurable mapping inducing the given operator.
Evseev N.A., Menovshchikov A.V.
core   +1 more source

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