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Serre, Jean-Pierre

Completely continuous endomorphisms of \(p\)-adic Banach spaces. (Endomorphismes complètement continus des espaces de Banach \(p\)-adiques.) (French) Zbl 0104.33601

Publ. Math., Inst. Hautes Étud. Sci. 12, 69-85 (1962).
Reviewer: A. Pietsch
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Cited in 3 Reviews
Cited in 120 Documents

MSC:

46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
12J25 Non-Archimedean valued fields

Keywords:

endomorphisms; p-adic Banach spaces

Citations:

Zbl 0173.48601
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\textit{J.-P. Serre}, Publ. Math., Inst. Hautes Étud. Sci. 12, 69--85 (1962; Zbl 0104.33601)
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References:

[1] H. Cartan,Séminaire E.N.S., 1953–1954.
[2] J. Dieudonné,Foundations of modern analysis, Acad. Press, 1960.
[3] B. Dwork, On the rationality of the zeta function of an algebraic variety,Amer. J. of Maths., 82, 1960, p. 631–648. · Zbl 0173.48501
[4] B. Dwork, On the zeta function of a hypersurface,Publ. Math. I.H.E.S., n0 12, 1962. · Zbl 0173.48601
[5] I. Fleischer, Sur les espaces normés non archimédiens,Proc. Acad. Amsterdam, 57, 1954, p. 165–168. · Zbl 0055.09903
[6] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires,Memoirs of the Amer. Math. Soc., no 16, 1955.
[7] A. Grothendieck, La théorie de Fredholm,Bull. Soc. Math. France, 84, 1956, p. 319–384.
[8] A. Monna, Sur les espaces normés non archimédiens:Proc. Acad. Amsterdam, 59, 1956, p. 475–483; · Zbl 0073.08701
[9] A. Monna, Sur les espaces normés non archimédiens:Proc. Acad. Amsterdam, 59, 1956, p. 494–489; · Zbl 0073.08701
[10] A. Monna, Sur les espaces normés non archimédiens:Proc. Acad. Amsterdam, 60, 1957, p. 459–467; · Zbl 0080.31404
[11] A. Monna, Sur les espaces normés non archimédiens:Proc. Acad. Amsterdam, 60, 1957, p. 468–476. · Zbl 0080.31404
[12] R. Sikorski, The determinant theory in Banach spaces,Colloquium mathematicum, 8, 1961, p. 141–198. · Zbl 0103.33202
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