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Invariant cross-sections and invariant linear subspaces

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Abstract

Existence theorems for linear subspaces invariant under a continuous mapping and contained in a given set are obtained from a general theorem on existence of invariant crosss-sections.

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Lecture delivered at a symposium on Series and Geometry in Linear Spaces, held at the Hebrew University of Jerusalem from March 16 till March 24, 1964.

This work was supported in part by the National Science Foundation, Grant G-24865.

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Fan, K. Invariant cross-sections and invariant linear subspaces. Israel J. Math. 2, 19–26 (1964). https://doi.org/10.1007/BF02759730

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  • DOI: https://doi.org/10.1007/BF02759730

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