On generalized topological divisors of zero
On generalized topological spaces I
We begin a systematic study of the category GTS of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings. We reformulate the axioms. Generalized topology is found to be connected with the concept of a bornological universe. Both GTS and its full subcategory SS of small spaces are topological categories. The second part of this paper will also appear in this journal.
On generalized topological spaces II
This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217-241]. The categories GTS(M), with M a non-empty set, are shown to be topological. Several related categories are proved to be finitely complete. Locally small and nice weakly small spaces can be described using certain sublattices of power sets. Some important elements of the theory of locally definable and weakly definable spaces are reconstructed in a wide context of structures with topologies.
On generalized variations (II)
On generation and propagation of tsunamis in a shallow running ocean.
On global approximation properties of abstract integral operators in Orlicz spaces and applications.
On Global Central Decomposition for a Universal Cap.
On graph -algebras with a linear ideal lattice.
On Grothendieck space ideals.
On Grothendieck spaces of type C(K)
On group representations whose algebra is an ideal in its von Neumann algebra
Let be a continuous unitary representation of the locally compact group on the Hilbert space . Let be the algebra generated byThe main result obtained in this paper is Theorem 1:If is -compact and then supp is discrete and each in supp in CCR.We apply this theorem to the quasiregular representation and obtain among other results that implies in many cases that is a compact coset space.
On Groups of Automorphisms of the Tensor Product of von Neumann Algebras.
On Hadamard differentiability
On Hadamard-Dirichlet algebras.
On Hamel bases in Banach spaces
It is shown that no infinite-dimensional Banach space can have a weakly K-analytic Hamel basis. As consequences, (i) no infinite-dimensional weakly analytic separable Banach space E has a Hamel basis C-embedded in E(weak), and (ii) no infinite-dimensional Banach space has a weakly pseudocompact Hamel basis. Among other results, it is also shown that there exist noncomplete normed barrelled spaces with closed discrete Hamel bases of arbitrarily large cardinality.
On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support
In this paper we study Beurling type distributions in the Hankel setting. We consider the space of Beurling type distributions on having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space . We also establish Paley Wiener type theorems for Hankel transformations of distributions in .
On Hankel transformable distribution spaces.
On Hardy type inequality with non-isotropic kernels.
On Hardy-Hilbert's integral inequality with parameters.
On Hardy's inequality and eigenvalue distributions