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Krein’s theorem without sequential convergence. (English) Zbl 0152.32303


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[1] Dunford, N., andJ. T. Schwartz: Linear operators, Vol. I. New York: Interscience 1958. · Zbl 0084.10402
[2] Grothendieck, A.: Espaces vectoriels topologiques. 2nd Ed. Sao Paulo: Sociedade de Matematica de Sao Paulo 1958. · Zbl 0058.33401
[3] Kelley, J. L., I. Namioka, and co-authors: Linear topological spaces. Princeton: Van Nostrand 1963.
[4] Köthe, G.: Topologische lineare Räume. Berlin-Göttingen-Heidelberg: Springer 1960. · Zbl 0093.11901
[5] Namioka, I.: A substitute for Lebesgue’s bounded convergence theorem. Proc. Am. Math. Soc.12, 713-716 (1961). · Zbl 0100.10905
[6] Simons, S.: A theorem on lattice ordered groups, results of Ptak, Namioka and Banach, and a front-ended proof of Lebesgue’s theorem. Pacific J. Math.20, 149-153 (1967). · Zbl 0146.04901
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