Compact elements of Banach Algebras
Compact embedding of a degenerate Sobolev space and existence of entire solutions to a semilinear equation for a Grushin-type operator
Compact embedding theorems for generalized Sobolev spaces
In this Note we give some compact embedding theorems for Sobolev spaces, related to -tuples of vectors fields of class on .
Compact Embeddings for Weighted Orlicz-Sobolev Spaces on IRN.
Compact embeddings of Besov spaces involving only slowly varying smoothness
We characterize compact embeddings of Besov spaces involving the zero classical smoothness and a slowly varying smoothness into Lorentz-Karamata spaces , where is a bounded domain in and is another slowly varying function.
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 groups of automorphisms of von Neumann algebras.
Compact Groups Operating on Banach Algebras.
Compact Hermitian operators on projective tensor products of Banach algebras.
Compact homomorphisms between algebras of analytic functions
We prove that every weakly compact multiplicative linear continuous map from into is compact. We also give an example which shows that this is not generally true for uniform algebras. Finally, we characterize the spectra of compact composition operators acting on the uniform algebra , where is the open unit ball of an infinite-dimensional Banach space E.
Compact imbedding of weighted Sobolev space defined on an unbounded domain. I.
Compact imbedding of weighted Sobolev space defined on an unbounded domain. II.
Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
Compact Integral Operators on Banach Function Spaces.
Compact maps and embeddings from an infinite type power series space to a finite type power series space.
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.