On C*-algebras having linear, polynomial and subexponential growth.
On Carathéodory vector lattices
On Carathéodory's and Krein-Milman's theorems in fully ordered groups
On Cartan Homotopy Formulas in Cyclic Homology.
On Cental Morphisms
On certain barrelled normed spaces
Let be a -algebra on a set . If belongs to let be the characteristic function of . Let be the linear space generated by endowed with the topology of the uniform convergence. It is proved in this paper that if is an increasing sequence of subspaces of covering it, there is a positive integer such that is a dense barrelled subspace of , and some new results in measure theory are deduced from this fact.
On certain class of non-removable ideals in Banach algebras
On certain classes of normed linear spaces
On certain diameters of bounded sets.
On certain porous sets in the Orlicz space of a locally compact group
Let G be a locally compact group with a fixed left Haar measure. Given Young functions φ and ψ, we consider the Orlicz spaces and on a non-unimodular group G, and, among other things, we prove that under mild conditions on φ and ψ, the set is well defined on G is σ-c-lower porous in . This answers a question raised by Głąb and Strobin in 2010 in a more general setting of Orlicz spaces. We also prove a similar result for non-compact locally compact groups.
On certain products of Banach algebras with applications to harmonic analysis
Given Banach algebras A and B with spectrum σ(B) ≠ ∅, and given θ ∈ σ(B), we define a product , which is a strongly splitting Banach algebra extension of B by A. We obtain characterizations of bounded approximate identities, spectrum, topological center, minimal idempotents, and study the ideal structure of these products. By assuming B to be a Banach algebra in ₀(X) whose spectrum can be identified with X, we apply our results to harmonic analysis, and study the question of spectral synthesis,...
On certain properties of the relative entropy of states of operator algebras.
On certain quasi-complemented and complemented Banach algebras.
On certain spaces of transformations of infinite series
On certain subsets of Bochner integrable function spaces.
One of the most important methods used in literature to introduce new properties in a Banach space E, consists in establishing some non trivial relationships between different classes of subsets of E. For instance, E is reflexive, or has finite dimension, if and only if every bounded subset is weakly relatively compact or norm relatively compact, respectively.On the other hand, Banach spaces of the type C(K) and Lp(μ) play a vital role in the general theory of Banach spaces. Their structure is so...
On certain subspaces of a nuclear power series spaces of finite type
On Certain Topologies on a Vector Space.
On certain trigonometric sums in several variables.
On character amenable Banach algebras
We obtain characterizations of left character amenable Banach algebras in terms of the existence of left ϕ-approximate diagonals and left ϕ-virtual diagonals. We introduce the left character amenability constant and find this constant for some Banach algebras. For all locally compact groups G, we show that the Fourier-Stieltjes algebra B(G) is C-character amenable with C < 2 if and only if G is compact. We prove that if A is a character amenable, reflexive, commutative Banach algebra, then A...
On Characterization of Absolutely Continuous Measures on Locally Compact Spaces.