On the representation of Orlicz lattices
On the representation of uncountable symmetric basic sets and its applications
It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.
On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in
On the Riesz-Fischer theorem for vector-valued functions
On the Riesz-Fischer theorem in a smooth Banach space
On the right inverse operators which are defined by Eidelheit sequences.
On the Rockafellar theorem for -monotone multifunctions
Let X be an arbitrary set, and γ: X × X → ℝ any function. Let Φ be a family of real-valued functions defined on X. Let be a cyclic -monotone multifunction with non-empty values. It is shown that the following generalization of the Rockafellar theorem holds. There is a function f: X → ℝ such that Γ is contained in the -subdifferential of f, .
On the Schauder estimates of solutions to parabolic equations
On the Schröder equation [Book]
On the Schröder-Bernstein problem for Carathéodory vector lattices
In this note we prove that there exists a Carathéodory vector lattice such that and . This yields that is a solution of the Schröder-Bernstein problem for Carathéodory vector lattices. We also show that no Carathéodory Banach lattice is a solution of the Schröder-Bernstein problem.
On the scooping property of measures by means of disjoint balls
On the semi-inner product in locally convex spaces.
On the separation of closed, convex sets
On the sequential order continuity of the -space.
On the sets of sequences that are strongly -bounded and -convergent to naught with index .
On the Sets of Type VV++
On the shape of solutions to some variational problems
On the sign of Colombeau functions and applications to conservation laws
A generalized concept of sign is introduced in the context of Colombeau algebras. It extends the sign of the point-value in the case of sufficiently regular functions. This concept of generalized sign is then used to characterize the entropy condition for discontinuous solutions of scalar conservation laws.
On the sine integral and the convolution.
On the singlevaluedness and differentiation of metric projections