Talk:Schauder fixed-point theorem: Difference between revisions

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The article states ``[Schauder's Fixed Point Theorem] asserts that if is a nonempty convex closed subset of a Hausdorff topological vector space and is a continuous mapping of into itself such that is contained in a compact subset of , then has a fixed point. That's not what is called Schauder's Fixed Point Theorem in most texts in the literature, namely because the latter usually concern Banach spaces. The theorem as stated here is moreover without citation. This is a significant problem, in my view. Where is this purported theorem from, exactly? Logicdavid (talk) 16:34, 16 April 2025 (UTC) [[User:Logicdavid|Logicdavid]] ([[User talk:Logicdavid|talk]]) 16:36, 16 April 2025 (UTC)
 
== A ghost Theorem ==
 
The article also coins expression ``Leray–Schauder theorem'' without telling us what theorem it might mean. Which theorem is it, where can it be found, what does it state? [[User:Logicdavid|Logicdavid]] ([[User talk:Logicdavid|talk]]) 16:39, 16 April 2025 (UTC)