On the Urysohn Integral Equation in Locally Convex Spaces
Janusz Januszewski, Stanislaw Szufla (1992)
Publications de l'Institut Mathématique
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Displaying similar documents to “An inverse function theorem for Frechet spaces”
On the Urysohn Integral Equation in Locally Convex Spaces
On two classes of LF-spaces
Bonet, J., Dierolf, S., Fernández, C. (1992)
Portugaliae mathematica
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Compact perturbations of linear differential equations in locally convex spaces
S. A. Shkarin (2006)
Studia Mathematica
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Herzog and Lemmert have proven that if E is a Fréchet space and T: E → E is a continuous linear operator, then solvability (in [0,1]) of the Cauchy problem ẋ = Tx, x(0) = x₀ for any x₀ ∈ E implies solvability of the problem ẋ(t) = Tx(t) + f(t,x(t)), x(0) = x₀ for any x₀ ∈ E and any continuous map f: [0,1] × E → E with relatively compact image. We prove the same theorem for a large class of locally convex spaces including: • DFS-spaces, i.e., strong duals of Fréchet-Schwartz...
On locally convex spaces of the type (DF) defined by an arbitrary family of bounded sets
B. Mirković (1974)
Matematički Vesnik
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Some Theorems On The Fixed Point In Locally Convex Spaces
O. Hadžić, B. Stanković (1970)
Publications de l'Institut Mathématique
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On non locally p-convex spaces
W. J. Stiles (1971)
Colloquium Mathematicae
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Some results on the duals of the inductive and projective limits of Moscatelli type.
Yolanda Meléndez (1992)
Extracta Mathematicae
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Continous Norms on Locally Convex Strict Inductive Limit Spaces.
Klaus Floret (1984/85)
Mathematische Zeitschrift
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A theorem on the common fixed point in locally convex spaces
O. Hadžić (1982)
Matematički Vesnik
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Factorization of Montel operators
S. Dierolf, P. Domański (1993)
Studia Mathematica
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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. ...