scholarly journals Weighted composition operators on Hilbert spaces of vector-valued functions

1996 ◽  
Vol 124 (10) ◽  
pp. 3123-3130 ◽  
Author(s):  
William E. Hornor ◽  
James E. Jamison
Keyword(s):  
Hilbert Spaces ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Vector Valued Functions ◽  
Vector Valued

scholarly journals Injective composition operators on Lorentz–Bochner spaces

2013 ◽  
Vol 46 (4) ◽  
Author(s):  
Gopal Datt ◽  
S. C. Arora
Keyword(s):  
Composition Operators ◽  
Weighted Composition Operators ◽  
Measurable Transformation ◽  
Weighted Composition ◽  
Vector Valued Functions ◽  
Vector Valued ◽  
Equivalent Conditions

AbstractIn this paper, we extend the notion of essential range to vector-valued functions and present various equivalent conditions for the injectiveness of the composition operators alongwith a characterisation for measurable transformations inducing composition operators between Lorentz–Bochner spaces. Some aspects of the weighted composition operators on Lorentz–Bochner spaces, induced by a measurable transformation and an operator valued map, are also discussed.

scholarly journals Weighted composition operators between weak spaces of vector-valued analytic functions

Analysis ◽  
2017 ◽  
Vol 37 (1) ◽  
Author(s):  
Mostafa Hassanlou ◽  
Jussi Laitila ◽  
Hamid Vaezi
Keyword(s):  
Analytic Functions ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Vector Valued

AbstractWe consider weighted composition operators

scholarly journals Weighted composition operators on functional Hilbert spaces

1985 ◽  
Vol 31 (1) ◽  
pp. 117-126 ◽  
Author(s):  
R.K. Singh ◽  
R. David Chandra Kumar
Keyword(s):  
Hilbert Spaces ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Linear Operators ◽  
Weighted Composition Operators ◽  
Bounded Linear ◽  
Atomic Measure ◽  
Weighted Composition ◽  
Functional Hilbert Spaces

Let X be a non-empty set and let H(X) denote a Hibert space of complex-valued functions on X. Let T be a mapping from X to X and θ a mapping from X to C such that for all f in H(X), f ° T is in H(x) and the mappings CT taking f to f ° T and M taking f to θ.f are bounded linear operators on H(X). Then the operator CTMθ is called a weighted composition operator on H(X). This note is a report on the characterization of weighted composition operators on functional Hilbert spaces and the computation of the adjoint of such operators on L2 of an atomic measure space. Also the Fredholm criteria are discussed for such classes of operators.

Sign in / Sign up

Export Citation Format

Share Document