Lower bounds for eigenvalues of Schatten-von Neumann operators.
Lower s-numbers and their asymptotic behaviour
Lucid operators on Banach spaces
Majorizations for Generalized s-Numbers in Semifinite von Neumann Algebras.
Mean Oscillation of Functions and the Paley-Wiener Space.
Measure theory in noncommutative spaces.
Norm attaining operators
Norm Derivatives on Spaces of Operators.
Norm of a derivation and hyponormal operators.
Noyaux absolument mesurables ou basiques et opérateurs nucléaires
Nuclear spaces of maximal diametral dimension
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