Results 21 to 30 of about 2,932 (231)
I: Fréchet-Urysohn spaces [PDF]
In this paper, we introduce the concept ss-sequentially quotient mapping. Using this concept, we characterize s-Fréchet-Urysohn spaces and s-sequential spaces.
Renukadevi V., Prakash B.
doaj
Spaces whose Pseudocompact Subspaces are Closed Subsets
Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by “FCC”).
Alan Dow +3 more
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Frechet Spaces with Nuclear Kothe Quotients [PDF]
Each separable Frechet non-Banach space X with a continuous norm is shown to have a quotient Y with a continuous norm and a basis. If, in addition, Y can be chosen to be nuclear, we say that X has a nuclear Kothe quotient. We obtain a (slightly technical) characterization of those separable Frechet spaces with nuclear Kothe quotients.
Bellenot, Steven F., Dubinsky, Ed
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Controllability of mild solutions for fractional neutral evolution equations with state-dependent delay [PDF]
This paper examines the controllability of mild solutions for a specific class of neutral fractional evolution equations with finite state-dependent delays in Fréchet space, employing Caputo fractional derivatives.
Selma Baghli-Bendimerad +1 more
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Approximate Identities in Algebras of Compact Operators on Frechet Spaces
Bounded approximate identity(bai) is a key concept in the theory of amenability of algebras. In this paper, we show that algebra of compact operators on Frechet space X has both theright and left locally bounded approximate identities.
Ayinde, Semiu A.
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Tameness in Frechet spaces of analytic functions
A Frechet space chi with a sequence {parallel to.parallel to k}(k=1)(infinity) of generating seminorms is called tame if there exists an increasing function sigma : N -> Nsuch that for every continuous linear operator T from chi into itself, there exist ...
Aytuna, Aydin
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On the Existence of Polynomials with Chaotic Behaviour
We establish a general result on the existence of hypercyclic (resp., transitive, weakly mixing, mixing, frequently hypercyclic) polynomials on locally convex spaces.
Nilson C. Bernardes, Alfredo Peris
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Structure space of tensor products of Frechet *-algebras
In the case of a non-commutative m*-convex algebra, the topological spectrum (Gel'fand space) of the commutative case is replaced by the structure space consisting of equivalent classes of continuous topologically irreducible representations.
Fragoulopoulou, Maria
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Statistical Bochner Integral on Frechet Space
Probability theory including the Bochner integral is a very important part of modern mathematical concepts including the modern theory of probabilities, especially in the concept of mathematical expectation and dispersion. In this, study a statistical approach form of Bochner’s theory is given and extended, but some fundamental properties of ...
Anita Caushi, Ervenila Musta
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Frechet distance on the set of compact trees
We introduce a counterpart of the Frechet distance for the rooted trees in a metric space. Some properties and possible generalizations of this distance are discussed.
Olha Lozinska +2 more
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