-absolutely summing operators on the space and applications.
-Spaces and cone summing operators
2-summing multiplication operators
Let 1 ≤ p < ∞, be a sequence of Banach spaces and the coresponding vector valued sequence space. Let , be two sequences of Banach spaces, , Vₙ: Xₙ → Yₙ, a sequence of bounded linear operators and 1 ≤ p,q < ∞. We define the multiplication operator by . We give necessary and sufficient conditions for to be 2-summing when (p,q) is one of the couples (1,2), (2,1), (2,2), (1,1), (p,1), (p,2), (2,p), (1,p), (p,q); in the last case 1 < p < 2, 1 < q < ∞.
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.