On the connectedness of the set of fixed points of a compact operator in the Fréchet space $C^m(\langle b,\infty ),\mathbf {R}^n)$

Valter Šeda; Zbyněk Kubáček

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The aim of this note is 1. to show that some results (concerning the structure of the solution set of equations (18) and (21)) obtained by Czarnowski and Pruszko in [6] can be proved in a rather different way making use of a simle generalization of a theorem proved by Vidossich in [8]; and 2. to use a slight modification of the “main theorem” of Aronszajn from [1] applying methods analogous to the above mentioned idea of Vidossich to prove the fact that the solution set of the equation...

Displaying similar documents to “On the connectedness of the set of fixed points of a compact operator in the Fréchet space C m ( 〈 b , ∞ ) , 𝐑 n ) ”

Surjectivity and boundary value problems

On the existence of a solution for nonlinear operator equations in Fréchet spaces

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Displaying similar documents to “On the connectedness of the set of fixed points of a compact operator in the Fréchet space $C^{m} (〈 b, \infty), 𝐑^{n})$ ”