A theorem of Hahn-Banach type for locally convex topological spaces
A theorem of Rolewicz's type for measurable evolution families in Banach spaces.
A Theorem of the Closed Graph Type.
A theorem of the Hahn-Banach type and its applications
Let Y be a subgroup of an abelian group X and let T be a given collection of subsets of a linear space E over the rationals. Moreover, suppose that F is a subadditive set-valued function defined on X with values in T. We establish some conditions under which every additive selection of the restriction of F to Y can be extended to an additive selection of F. We also present some applications of results of this type to the stability of functional equations.
A Theorem On Fixed Points In Locally Convex Spaces
A theorem on matrices and its applications in functional analysis
A theorem on the weak topology of C(X) for compact scattered X
A Twisted Fréchet Space with Basis.
A uniform boundedness principle of Pták
The Antosik-Mikusinski Matrix Theorem is used to give an extension of a uniform boundedness principle due to V. Pták to certain metric linear spaces. An application to bilinear operators is given.
A uniform F-algebra with locally complete spectrum and with nonglobal peak points
A uniformly convex Banach space which contains no
A universal non-compact operator
A Universal Topology for Sequence Spaces.
A useful algebra for functional calculus
We show that some unital complex commutative LF-algebra of -tempered functions on (M. Hemdaoui, 2017) equipped with its natural convex vector bornology is useful for functional calculus.
About some parameters of normed linear spaces
Si prendono in considerazione particolari costanti relative alla struttura della sfera unitaria di uno spazio di Banach. Se ne studiano alcune generali proprietà, con particolare riferimento alle relazioni con il modulo di convessità dello spazio. Se ne fornisce inoltre una esatta valutazione negli spazi .
About the Banach envelope of l1,∞.
About the space , p > 0
Absolute and Ordinary Köthe-Toeplitz Duals of Some Sets of Sequences and Matrix Transformations
Absolute bases, tensor products and a theorem of Bohr
Absolutely continuous linear operators on Köthe-Bochner spaces
Let E be a Banach function space over a finite and atomless measure space (Ω,Σ,μ) and let and be real Banach spaces. A linear operator T acting from the Köthe-Bochner space E(X) to Y is said to be absolutely continuous if whenever μ(Aₙ) → 0, (Aₙ) ⊂ Σ. In this paper we examine absolutely continuous operators from E(X) to Y. Moreover, we establish relationships between different classes of linear operators from E(X) to Y.