Absolutely--summing operators in -spaces II
Absolutely p-summing operators and Banach spaces containing all uniformly complemented
Absolutely P-Summing, P-Nuclear Operators and Their Conjugates.
Absolutely (r,p,q)-summing inclusions
As a continuation of the work of Bennett and Carl for the case q = ∞, we consider absolutely (r,p,q)-summing inclusion maps between Minkowski sequence spaces, 1 ≤ p,q ≤ 2. Using these results we deduce parts of the limit orders of the corresponding operator ideals and an inclusion theorem between the ideals of (u,s,t)-nuclear and of absolutely (r,p,q)-summing operators, which gives a new proof of a result of Carl on Schatten class operators. Furthermore, we also consider inclusions between arbitrary...
Absolutely summing operators and measure amarts in Fréchet spaces
Absolutely summing operators in -spaces and their applications
Absolutely Summing Terraced Matrices
Let α > 0. By Cα we mean the terraced matrix defined by [...] if 1 ≤ k ≤ n and 0 if k > n. In this paper, we show that a necessary and sufficient condition for the induced operator on lp, to be p-summing, is α > 1; 1 ≤ p < ∞. When the more general terraced matrix B, defined by bnk = βn if 1 ≤ k ≤ n and 0 if k > n, is considered, the necessary and sufficient condition turns out to be [...] in the region 1/p + 1/q ≤ 1.
Abstract multiplication semigroups.
Abstract representing kernels.
Accretive approximation in C*-algebras
The problem of approximation by accretive elements in a unital C*-algebra suggested by P. R. Halmos is substantially solved. The key idea is the observation that accretive approximation can be regarded as a combination of positive and self-adjoint approximation. The approximation results are proved both in the C*-norm and in another, topologically equivalent norm.
Acotabilidad de la función resolvente local.
Acotación y sumabilidad en ideales de operadores compactos en espacios de Hilbert.
Addendum to "On Some Space of Vector Valued Sequences".
Additivity of maps on triangular algebras.
Adjoint characterisations of unbounded weakly compact, weakly completely continuous and unconditionally converging operators
Characterisations are obtained for the following classes of unbounded linear operators between normed spaces: weakly compact, weakly completely continuous, and unconditionally converging operators. Examples of closed unbounded operators belonging to these classes are exhibited. A sufficient condition is obtained for the weak compactness of T' to imply that of T.
Adjoints of composition operators on standard Bergman and Dirichlet spaces on the unit disk.
Adjungiertenbildungen in der Operatortheorie.
Algebra isomorphisms between standard operator algebras
If X and Y are Banach spaces, then subalgebras ⊂ B(X) and ⊂ B(Y), not necessarily unital nor complete, are called standard operator algebras if they contain all finite rank operators on X and Y respectively. The peripheral spectrum of A ∈ is the set of spectral values of A of maximum modulus, and a map φ: → is called peripherally-multiplicative if it satisfies the equation for all A,B ∈ . We show that any peripherally-multiplicative and surjective map φ: → , neither assumed to be linear nor...
Algebraic and essentially algebraic composition operators on C(X).
Algebraic Characterization of Symmetrie Complex Banach Manifolds.