On the sum of two closed subspaces |
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Authors: | Jürgen Voigt |
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Institution: | TU Dresden, Fachrichtung Mathematik, D-01062 Dresden, Germany |
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Abstract: | If U,V are closed subspaces of a Fréchet space, then E is the direct sum of U and V if and only if E′ is the algebraic direct sum of the annihilators U° and V°. We provide a simple proof of this (possibly well-known) result. |
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Keywords: | Direct sum Weak topology Mackey topology |
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