On a class of absolutely p-summing operators
On a class of Hausdorff compact and GSG Banach spaces
On a class of linear operators.
On a formula of le Merdy for the complex interpolation of tensor products.
On a generalization of Lumer-Phillips' theorem for dissipative operators in a Banach space
Using [1], which is a local generalization of Gelfand's result for powerbounded operators, we first give a quantitative local extension of Lumer-Philips' result that states conditions under which a quasi-nilpotent dissipative operator vanishes. Secondly, we also improve Lumer-Phillips' theorem on strongly continuous semigroups of contraction operators.
On a Kleinecke-Shirokov theorem
We prove that for normal operators the generalized commutator approaches zero when tends to zero in the norm of the Schatten-von Neumann class with and varies in a bounded set of such a class.
On a theorem of Gelfand and its local generalizations
In 1941, I. Gelfand proved that if a is a doubly power-bounded element of a Banach algebra A such that Sp(a) = 1, then a = 1. In [4], this result has been extended locally to a larger class of operators. In this note, we first give some quantitative local extensions of Gelfand-Hille’s results. Secondly, using the Bernstein inequality for multivariable functions, we give short and elementary proofs of two extensions of Gelfand’s theorem for m commuting bounded operators, , on a Banach space X.
On a theorem of Ky Fan
On a theorem of L. Schwartz and its applications to absolutely summing operators
On a theorem of Stinespring concerning integral operators of trace class.
On a Weyl-von Neumann type theorem for antilinear self-adjoint operators
Antilinear operators on a complex Hilbert space arise in various contexts in mathematical physics. In this paper, an analogue of the Weyl-von Neumann theorem for antilinear self-adjoint operators is proved, i.e. that an antilinear self-adjoint operator is the sum of a diagonalizable operator and of a compact operator with arbitrarily small Schatten p-norm. On the way, we discuss conjugations and their properties. A spectral integral representation for antilinear self-adjoint operators is constructed....
On an inclusion between operator ideals
Let and . We prove that , the ideal of operators of Geľfand type , is contained in the ideal of -absolutely summing operators. For this generalizes a result of G. Bennett given for operators on a Hilbert space.
On an infinite-dimensional version of the Kreiss matrix theorem
On approximation by Toeplitz operators
On Banach ideals determined by Banach lattices and their applications [Book]
On Banach spaces X for which
On Banach spaces X such that L(Lp,X) = K(Lp,X).
On Besselian Schauder Bases in l... (E).
On bounded approximation properties of Banach spaces
This survey features some recent developments concerning the bounded approximation property in Banach spaces. As a central theme, we discuss the weak bounded approximation property and the approximation property which is bounded for a Banach operator ideal. We also include an overview around the related long-standing open problem: Is the approximation property of a dual Banach space always metric?
On Calderón-Toeplitz Operators.