Some results on solvability of ordinary linear differential equations in locally convex spaces
Data(s) |
1992
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Resumo |
Let $\Gamma$ be the class of sequentially complete locally convex spaces such that an existence theorem holds for the linear Cauchy problem $\dot x = Ax$, $x(0) = x_0$ with respect to functions $x: R\to E$. It is proved that if $E\in \Gamma$, then $E\times R^A$ is-an-element-of $\Gamma$ for an arbitrary set $A$. It is also proved that a topological product of infinitely many infinite-dimensional Frechet spaces, each not isomorphic to $\omega$, does not belong to $\Gamma$. |
Identificador | |
Idioma(s) |
eng |
Direitos |
info:eu-repo/semantics/restrictedAccess |
Fonte |
Shkarin , S 1992 , ' Some results on solvability of ordinary linear differential equations in locally convex spaces ' Sbornik Mathematics , vol 71 , pp. 29-40 . |
Tipo |
article |