On integration and the Radon-Nikodym theorem in quasicomplete locally convex topological vector spaces.
On integration in complete bornological locally convex spaces
A generalization of I. Dobrakov’s integral to complete bornological locally convex spaces is given.
On invariant elements for positive operators.
In the paper we study the existence of nonzero positive invariant elements for positive operators in Riesz spaces. The class of Riesz spaces for which the results are valid is large enough to contain all the Banach lattices with order continuous norms. All the results obtained in earlier works deal with positive operators in KB-spaces and in many of them the approach is based upon the use of Banach limits. The methods created for KB-spaces cannot be extended to our more general setting; that is...
On isometries in linear metric spaces
On isomorphic classification of tensor products [Book]
On isomorphisms of some Köthe function F-spaces
We prove that if Köthe F-spaces X and Y on finite atomless measure spaces (ΩX; ΣX, µX) and (ΩY; ΣY; µY), respectively, with absolute continuous norms are isomorphic and have the property (for µ = µX and µ = µY, respectively) then the measure spaces (ΩX; ΣX; µX) and (ΩY; ΣY; µY) are isomorphic, up to some positive multiples. This theorem extends a result of A. Plichko and M. Popov concerning isomorphic classification of L p(µ)-spaces for 0 < p < 1. We also provide a new class of F-spaces...
On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces
Some relations between the James (or non-square) constant J(X) and the Jordan-von Neumann constant , and the normal structure coefficient N(X) of Banach spaces X are investigated. Relations between J(X) and J(X*) are given as an answer to a problem of Gao and Lau [16]. Connections between and J(X) are also shown. The normal structure coefficient of a Banach space is estimated by the -constant, which implies that a Banach space with -constant less than 5/4 has the fixed point property.
On Köthe-Toeplitz duals of generalized difference sequence spaces.
On Lattice Properties of the Composition Operator.
On lattices and algebras of simple functions
On Lavine's formula for time-delay.
On linear topological Riesz spaces without convexity conditions.
On linearly topologized spaces and real-compact spaces
On linearly topologized spaces and real-compact spaces - II
On linearly topologized spaces and -spaces
On Lipschitz mappings between Fréchet spaces
On locally bounded spaces and their products
On locally convex extension of in the unit ball and continuity of the Bergman projection
We define locally convex spaces LW and HW consisting of measurable and holomorphic functions in the unit ball, respectively, with the topology given by a family of weighted-sup seminorms. We prove that the Bergman projection is a continuous map from LW onto HW. These are the smallest spaces having this property. We investigate the topological and algebraic properties of HW.
On locally convex spaces of the type (DF) defined by an arbitrary family of bounded sets
On Locally Convex Spaces Ordered by a Basis.