Factorization in Fréchet spaces
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Displaying 1 – 20 of 23
Factorization in some Fréchet algebras of differentiable functions
Jürgen Voigt (1984)
Studia Mathematica
Factorization of Montel operators
S. Dierolf, P. Domański (1993)
Studia Mathematica
Consider the following conditions. (a) Every regular LB-space is complete; (b) if an operator T between complete LB-spaces maps bounded sets into relatively compact sets, then T factorizes through a Montel LB-space; (c) for every complete LB-space E the space C (βℕ, E) is bornological. We show that (a) ⇒ (b) ⇒ (c). Moreover, we show that if E is Montel, then (c) holds. An example of an LB-space E with a strictly increasing transfinite sequence of its Mackey derivatives is given.
Factorization of unbounded operators on Köthe spaces
T. Terzioğlu, M. Yurdakul, V. Zahariuta (2004)
Studia Mathematica
The main result is that the existence of an unbounded continuous linear operator T between Köthe spaces λ(A) and λ(C) which factors through a third Köthe space λ(B) causes the existence of an unbounded continuous quasidiagonal operator from λ(A) into λ(C) factoring through λ(B) as a product of two continuous quasidiagonal operators. This fact is a factorized analogue of the Dragilev theorem [3, 6, 7, 2] about the quasidiagonal characterization of the relation (λ(A),λ(B)) ∈ ℬ (which means that all...
Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces
José Bonet, J. D. Maitland Wright (2012)
Matematički Vesnik
Fat equicontinuous groups of homeomorphisms of linear topological spaces and their application to the problem of isometries in linear metric spaces
P. Mankiewicz (1979)
Studia Mathematica
F-espacios sobre cuerpos locales: La propiedad de extensión.
J. Martínez Maurica, C. Pérez García (1987)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Finite families of -spaces and multirectangular characteristics.
Zakharyuta, V.P., Chalov, P.A. (2001)
Sibirskij Matematicheskij Zhurnal
Finite points of filters in infinite dimensional vector spaces
Arthur Grainger (1979)
Fundamenta Mathematicae
Finite-dimensional Schauder decompositions in certain Frechet spaces
William B. Johnson (1971)
Colloquium Mathematicae
Fixed-point theory on a Frechet topological vector space.
Ben Amar, Afif, Cherif, Mohamed Amine, Mnif, Maher (2011)
International Journal of Mathematics and Mathematical Sciences
Fréchet interpolation spaces and Grothendieck operator ideals.
Jesús M. Fernández Castillo (1991)
Collectanea Mathematica
Starting with a continuous injection I: X → Y between Banach spaces, we are interested in the Fréchet (non Banach) space obtained as the reduced projective limit of the real interpolation spaces. We study relationships among the pertenence of I to an operator ideal and the pertenence of the given interpolation space to the Grothendieck class generated by that ideal.
Fréchet quotients of spaces of real-analytic functions
P. Domański, L. Frerick, D. Vogt (2003)
Studia Mathematica
We characterize all Fréchet quotients of the space (Ω) of (complex-valued) real-analytic functions on an arbitrary open set . We also characterize those Fréchet spaces E such that every short exact sequence of the form 0 → E → X → (Ω) → 0 splits.
Fréchet Schwartz spaces and approximation properties.
Alfredo Peris (1994)
Mathematische Annalen
Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity
P. Domański, L. Drewnowski (1992)
Studia Mathematica
Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.
Fréchet spaces of Moscatelli type.
José Bonet, Susanne Dierolf (1989)
Revista Matemática de la Universidad Complutense de Madrid
Fréchet spaces with a unique unconditional basis
B. Mitjagin (1970)
Studia Mathematica
Fréchet spaces with quotients failing the bounded approximation property
Ed Dubinsky, Dietmar Vogt (1985)
Studia Mathematica
Fréchet valued co-echelon spaces
Elisabetta M. Mangino (1996)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Fréchet-Montel-spaces which are not Schwartz-spaces
Floret, Klaus (1983/1984)
Portugaliae mathematica
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