Multiplication operators in Köthe–Bochner spaces

Composition Operators and Multiplication Operators on Orlicz Spaces

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Multiplication Operators on Generalized Lorentz-zygmund Spaces

The invertible, compact and Fredholm multiplication operators on generalized Lorentz-Zygmund (GLZ) spaces Lp,q;α, 1 < p ≤ ∞, 1 ≤ q ≤ ∞, α in the Euclidean space R, are characterized in this paper.

Matrix multiplication operators on Banach function spaces

Let (Ω,Σ,μ) be a σ -finite complete measure space and C be the field of complex numbers. By L(μ ,CN), we denote the linear space of all equivalence classes of CN-valued Σ-measurable functions on Ω that are identified μ-a.e. and are considered as column vectors. Let M◦ denote the linear space of all functions in L(μ ,CN) that are finite a.e. With the topology of convergence in measure on the set...

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

Multiplication Operators between Lipschitz-Type Spaces on a Tree

Let L be the space of complex-valued functions f on the set of vertices T of an infinite tree rooted at o such that the difference of the values of f at neighboring vertices remains bounded throughout the tree, and let Lw be the set of functions f ∈ L such that |f v − f v− | O |v|−1 , where |v| is the distance between o and v and v− is the neighbor of v closest to o. In this paper, we character...