A class of operators from a Banach lattice into a Banach space.
A counterexample in operator theory
The purpose of this note is to give an explicit construction of a bounded operator T acting on the space L2[0,1] such that |Tf(x)| ≤ ∫01 |f(y)| dy for a.e. x ∈ [0.1], and, nevertheless, ||T||Sp = ∞ for every p < 2. Here || ||Sp denotes the norm associated to the Schatten-Von Neumann classes.
A criterion for compositions of (p,q)-absolutely summing operators to be compact
A formula for the eigenvalues of a compact operator
A Fredholm Determinant Theory for p-Summing Maps in Banach Spaces.
A Generalization of Echelon Spaces.
A generalization of Khintchine's inequality and its application in the theory of operator ideals
A Minkowski-type inequality for the Schatten norm.
A note on absolutely P-summing operators.
A note on p-nuclear operators.
A note on the paper of Shütt "Unconditionality in tensor products''
A note on uniformly dominated sets of summing operators.
A Remark on Normal Derivations of Hilbert-Schmidt Type.
A remark on (p, q)-absolutely summing operators in -spaces
A remark on p-integral and p-absolutely summing operators form into
A remark on the range of elementary operators
Let denote the algebra of all bounded linear operators on a separable infinite dimensional complex Hilbert space into itself. Given , we define the elementary operator by . In this paper we study the class of operators which have the following property: implies for all trace class operators . Such operators are termed generalized quasi-adjoints. The main result is the equivalence between this character and the fact that the ultraweak closure of the range of is closed under taking...
A simple characterization of the trace-class of operators.
A Strict Maximum Modulus Theorem for Certain Banach Spaces.
A trace inequality for functions of triangular Hilbert-Schmidt operators
A unified approach to the strong approximation property and the weak bounded approximation property of Banach spaces
We consider convex versions of the strong approximation property and the weak bounded approximation property and develop a unified approach to their treatment introducing the inner and outer Λ-bounded approximation properties for a pair consisting of an operator ideal and a space ideal. We characterize this type of properties in a general setting and, using the isometric DFJP-factorization of operator ideals, provide a range of examples for this characterization, eventually answering a question...