Fredholm-Stieltjes integral equations with linear constraints: duality theory and Green's function
Friedrichs model operators of absolute type with one singular point.
Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds
The paper deals with quarkonial decompositions and entropy numbers in weighted function spaces on hyperbolic manifolds. We use these results to develop a spectral theory of related Schrödinger operators in these hyperbolic worlds.
Function spaces of generalised smoothness [Book]
Gelfand and Kolmogorov numbers of embedding of radial Besov and Sobolev spaces
We prove asymptotic formulas for the behavior of Gelfand and Kolmogorov numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces of radial distributions. Our method works also for Weyl numbers.
Gelfand numbers and metric entropy of convex hulls in Hilbert spaces
For a precompact subset K of a Hilbert space we prove the following inequalities: , n ∈ ℕ, and , k,n ∈ ℕ, where cₙ(cov(K)) is the nth Gelfand number of the absolutely convex hull of K and and denote the kth entropy and kth dyadic entropy number of K, respectively. The inequalities are, essentially, a reformulation of the corresponding inequalities given in [CKP] which yield asymptotically optimal estimates of the Gelfand numbers cₙ(cov(K)) provided that the entropy numbers εₙ(K) are slowly...
Generalization of Weyl-von Neumann-Berg theorem for the case of normal operator-valued holomorphic functions
Grothendieck Numbers and Volume Ratios of Operators on Banach Spaces.
Grothendieck-Lidskiĭ theorem for subspaces of quotients of -spaces
Generalizing A. Grothendieck’s (1955) and V. B. Lidskiĭ’s (1959) trace formulas, we have shown in a recent paper that for p ∈ [1,∞] and s ∈ (0,1] with 1/s = 1 + |1/2-1/p| and for every s-nuclear operator T in every subspace of any -space the trace of T is well defined and equals the sum of all eigenvalues of T. Now, we obtain the analogous results for subspaces of quotients (equivalently: for quotients of subspaces) of -spaces.
is a Grothendieck space
Hankel operators and the Dixmier trace on strictly pseudoconvex domains.
Hyperinvariante Teilräume stetiger Abbildungen in topologischen Vektorräumen.
Hyperinvariante Teilräume vollstetiger Abbildungen in topologischen Vektorräumen
Ideales de riesz en espacios localmente k-convexos
Inductive limit of operators and its applications
Interpolation and extension of Lipschitz-Hölder maps on spaces
Interpolation methods to estimate eigenvalue distribution of some integral operators.
Interpolation of Operator Ideals with an Application to Eigenvalue Distribution Problems.
Intersection properties of balls in spaces of compact operators
We study the connection between intersection properties of balls and the existence of large faces of the unit ball in Banach spaces. Hanner’s result that a real space has the 3.2 intersection property if an only if disjoint faces of the unit ball are contained in parallel hyperplanes is extended to infinite dimensional spaces. It is shown that the space of compact operators from a space to a space has the 3.2 intersection property if and only if and have the 3.2 intersection property and...
Irreducible Compact Operators.