Ideale von -Operatoren in Banachräumen
Ideals in algebras of unbounded operators
Ideals of homogeneous polynomials and weakly compact approximation property in Banach spaces
We show that a Banach space has the weakly compact approximation property if and only if each continuous Banach-valued polynomial on can be uniformly approximated on compact sets by homogeneous polynomials which are members of the ideal of homogeneous polynomials generated by weakly compact linear operators. An analogous result is established also for the compact approximation property.
Idéaux d'opérateurs. Adjonction
Imbedding theorems for spaces of functions of a denumberable number of variables and their applications.
Inequalities between absolutely (p,q)-summing norms
Inequalities Between Eigenvalues, Entropy Numbers, and Related Quantities of Compact Operators in Banach Spaces.
Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
The paper deals with covering problems and the degree of compactness of operators. The main part is devoted to relationships between entropy moduli and Kolmogorov (resp. Gelfand and approximation) numbers for operators which may be interpreted as counterparts to the classical Bernstein-Jackson inequalities for functions. Certain quantifications of results in the Riesz-Schauder-Theory are given. Finally, the largest distance between “the degree of approximation” and the “degree of compactness” of...
Interpolation of Operator Ideals with an Application to Eigenvalue Distribution Problems.
Interpolationsfunktoren, Folgenideale und Operatorenideale
Invarianz gewisser Operatorenklassen unter nichtkommutativen ergodischen Mitteln.
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Isolated points of spectrum of k-quasi-*-class A operators
Let T be a bounded linear operator on a complex Hilbert space H. In this paper we introduce a new class, denoted *, of operators satisfying where k is a natural number, and we prove basic structural properties of these operators. Using these results, we also show that if E is the Riesz idempotent for a non-zero isolated point μ of the spectrum of T ∈ *, then E is self-adjoint and EH = ker(T-μ) = ker(T-μ)*. Some spectral properties are also presented.