Representations for the Drazin inverse of bounded operators on Banach space.
Reverse order law for the Moore-Penrose inverse in -algebras.
Semi-Fredholm Operators and Sequence Conditions.
Some equivalent metrics for bounded normal operators
Some stronger and equivalent metrics are defined on , the set of all bounded normal operators on a Hilbert space and then some topological properties of are investigated.
Some highlights in the development of algebraic analysis
Some inequalities in .
Some new classes of operators between Banach spaces. Semitauberian operators.
Some new classes of topological vector spaces with closed graph theorems
In this note, we investigate non-locally-convex topological vector spaces for which the closed graph theorem holds. In doing so, we introduce new classes of topological vector spaces. Our study includes a direct extension of Pták duality to the non-locally-convex situation.
Some properties of -frames of subspaces.
Some properties of the sum of linear operators in the non-differential case.
Some summation formulae in commutative Leibniz algebras with logarithms
Spaces of D-paraanalytic elements [Book]
Spectral sets and the Drazin inverse with applications to second order differential equations
The paper defines and studies the Drazin inverse for a closed linear operator in a Banach space in the case that belongs to a spectral set of the spectrum of . Results are applied to extend a result of Krein on a nonhomogeneous second order differential equation in a Banach space.
Splines and pseudo-inverses
Structure properties of D-R spaces [Book]
Subspaces with a common complement in a Banach space
We study the problem of the existence of a common algebraic complement for a pair of closed subspaces of a Banach space. We prove the following two characterizations: (1) The pairs of subspaces of a Banach space with a common complement coincide with those pairs which are isomorphic to a pair of graphs of bounded linear operators between two other Banach spaces. (2) The pairs of subspaces of a Banach space X with a common complement coincide with those pairs for which there exists an involution...
Sums of square-zero operators
Sur les opérateurs bornés dans les espaces localement convexes
Sur les opérations presque inverses
Sur un théorème de M. Schechter concernant la transposée du produit de deux opérateurs