A Simple Proof of Kwapien's Theorem

  • Yasuo Yamasaki

    Kyoto University, Japan


The purpose of the present note is to prove in a self-contained way Kwapien's theorem that gives a criterion for Hilbertizability of normed spaces. Original proof [1], [2] has required much more complicated discussions. Many authors have investigated [3, 6] relating problems, but their researches are based on mutual quotations, thus it is difficult to follow their studies for readers not so familiar in the topic. So the author believes that a self-contained proof has some meaning.

Cite this article

Yasuo Yamasaki, A Simple Proof of Kwapien's Theorem. Publ. Res. Inst. Math. Sci. 20 (1984), no. 6, pp. 1247–1251

DOI 10.2977/PRIMS/1195180377