Some remarks on orthomorphisms
Some results on the class of -unbounded Dunford-Pettis operators
We introduce and study the class of unbounded Dunford--Pettis operators. As consequences, we give basic properties and derive interesting results about the duality, domination problem and relationship with other known classes of operators.
Stability and spectra of C0-semigroups.
Superconvexity of the Spectral Radius, and Convexity of the Spectral Bound and the Type.
Sur certaines moyennes associées à un opérateur positif
Sur la convergence de polynômes
The adjoint of a positive semigroup
The -weak compactness of weak Banach-Saks operators
We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.
The Banach lattice C[0,1] is super d-rigid
The following properties of C[0,1] are proved here. Let T: C[0,1] → Y be a disjointness preserving bijection onto an arbitrary vector lattice Y. Then the inverse operator is also disjointness preserving, the operator T is regular, and the vector lattice Y is order isomorphic to C[0,1]. In particular if Y is a normed lattice, then T is also automatically norm continuous. A major step needed for proving these properties is provided by Theorem 3.1 asserting that T satisfies some technical condition...
The Components of a Positive Operator.
The distance from a point to a cone in a Hilbert space.
The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators
The injective hull of an archimedean f-algebra
The mapping problem for well-behaved convolutions
The linear modulus of an integral operator
The Modulus of a Weakly Compact Operator.
The order -complete vector lattice of AM-compact operators
We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice into a Banach lattice is an order -complete vector lattice.
The Peripheral Point Spectrum of Schwarz Operators on C*-Algebras.
The Perron-Frobenius theorem in relative spectral theory.
The Projection onto the Center of Operators in a Banach Lattice.