An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation
An embedding theorem for Campanato spaces.
An embedding theorem for commutative -algebras
An embedding theorem for Hilbert categories.
An embedding theorem for Sobolev type functions with gradients in a Lorentz space
The purpose of this paper is to prove an embedding theorem for Sobolev type functions whose gradients are in a Lorentz space, in the framework of abstract metric-measure spaces. We then apply this theorem to prove absolute continuity and differentiability of such functions.
An epimorphism from a C*-algebra is continuous on the center of its domain.
An equation in the left and right fractional derivatives of the same order
An equivalent definition of the vector-valued McShane integral by means of partitions of unity
An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
An essay on the Interpolation Theorem of Józef Marcinkiewicz - Polish patriot
An estimate in the spirit of Poincaré's inequality
An estimate of the essential norm of a composition operator from to in the unit ball.
An estimation of the Lebesgue functions of biorthogonal systems with an application to the non-existence of some bases in C and
An evaluating characterization of homomorphisms
This work provides an evaluating complete description of positive homomorphisms on an arbitrary algebra of real-valued functions.
An exact Ramsey principle for block sequences.
An Example Concerning the Projective Tensor Product of Vector Measures
An Example Concerning Valdivia Compact Spaces
∗ Supported by Research grants GAUK 190/96 and GAUK 1/1998We prove that the dual unit ball of the space C0 [0, ω1 ) endowed with the weak* topology is not a Valdivia compact. This answers a question posed to the author by V. Zizler and has several consequences. Namely, it yields an example of an affine continuous image of a convex Valdivia compact (in the weak* topology of a dual Banach space) which is not Valdivia, and shows that the property of the dual unit ball being Valdivia is not an isomorphic...
An example for Gelfand's theory of commutative Banach algebras
An example of a function, which is not a d.c. function
Let , . We construct a function which has Lipschitz Fréchet derivative on but is not a d.c. function.
An example of a continuum of pairwise non-isomorphic spaces of -functions
An example of a Fréchet algebra which is a principal ideal domain
We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.