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.
Absolutely continuous selections from absolutely continuous set valued map
Absolutely convex sets in barrelled spaces
If is an increasing sequence of absolutely convex sets, in a barrelled space , such that , it is deduced some properties of from the properties of the sets of . It is shown that in a barrelled space any subspace of infinite countable codimension, is barrelled.
Absolutely P-Summing, P-Nuclear Operators and Their Conjugates.
Absolutely summing operators and measure amarts in Fréchet spaces
Absolutely summing operators between Banach spaces of finite cotype.
Abstract separation theorems of Rodé type and their applications
Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.
Abstract sliding hump technique and characterization of barrelled spaces