Compact Embeddings for Weighted Orlicz-Sobolev Spaces on IRN.
Compact embeddings of Brézis-Wainger type.
Let Ω be a bounded domain in Rn and denote by idΩ the restriction operator from the Besov space Bpq1+n/p(Rn) into the generalized Lipschitz space Lip(1,-α)(Ω). We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like ek(idΩ) ~ k-1/p if α > max (1 + 2/p + 1/q, 1/p). Our estimates improve previous results by Edmunds and Haroske.
Compact endomorphisms of
Compact composition operators on , where G is a region in the complex plane, and the spectra of these operators were described by D. Swanton ( Compact composition operators on B(D), Proc. Amer. Math. Soc. 56 (1976), 152-156). In this short note we characterize all compact endomorphisms, not necessarily those induced by composition operators, on , where D is the unit disc, and determine their spectra.
Compact failure of multiplicativity for linear maps between Banach algebras.
Compact Hermitian operators on projective tensor products of Banach algebras.
Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
Compact Integral Operators on Banach Function Spaces.
Compact Jacobi matrices : from Stieltjes to Krein and
Compact non-nuclear operator problem
Compact, non-nuclear operators
Compact operators and approximation spaces
We investigate compact operators between approximation spaces, paying special attention to the limit case. Applications are given to embeddings between Besov spaces.
Compact operators defined on 2-normed and 2-probabilistic normed spaces.
Compact Operators in Type III... and Type III... Factors.
Compact operators on Orlicz spaces
Compact operators on the weighted Bergman space A¹(ψ)
We show that a bounded linear operator S on the weighted Bergman space A¹(ψ) is compact and the predual space A₀(φ) of A¹(ψ) is invariant under S* if and only if as z → ∂D, where is the normalized reproducing kernel of A¹(ψ). As an application, we give conditions for an operator in the Toeplitz algebra to be compact.
Compact operators whose adjoints factor through subspaces of
For p ≥ 1, a subset K of a Banach space X is said to be relatively p-compact if , where p’ = p/(p-1) and . An operator T ∈ B(X,Y) is said to be p-compact if T(Ball(X)) is relatively p-compact in Y. Similarly, weak p-compactness may be defined by considering . It is proved that T is (weakly) p-compact if and only if T* factors through a subspace of in a particular manner. The normed operator ideals of p-compact operators and of weakly p-compact operators, arising from these factorizations,...
Compact Subsets of Partially Ordered Banach Spaces.
Compact weighted composition operators and fixed points in convex domains.
Compact weighted composition operators and multiplication operators between Hardy spaces.
Compact weighted composition operators on spaces of continous functions: A survey.