{"@context":"https://schema.org","@graph":[{"@type":"MedicalScholarlyArticle","@id":"https://synapsesocial.com/papers/6aa8f6f91a422052082c83d4#article","headline":"Some more uniformly convex spaces","name":"Some more uniformly convex spaces","url":"https://synapsesocial.com/papers/6aa8f6f91a422052082c83d4","inLanguage":"en","datePublished":"Wed, 01 Jan 1941 00:00:00 GMT","dateCreated":"Fri, 10 Oct 2025 00:00:00 GMT","abstract":"Let Bi, i = l, 2, •. . be a sequence of Banach spaces, and define B = c P p } to be the space of sequences b=bi with biÇBi and Ml = (l>INh) 1/p 1<£< °°. It is known that B, normed in this way, is also a Banach space. Boas 2 showed that if Bi = l p for all i or if Bi -L v for all i then B is uniformly convex. Since then I have shown 3 that if B -l vi or L pi, \\INh) 1/p 1<£< °°. It is known that B, normed in this way, is also a Banach space. Boas 2 showed that if Bi = l p for all i or if Bi -L v for all i then B is uniformly convex. Since then I have shown 3 that if B -l vi or L pi, \\

Some more uniformly convex spaces

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Some more uniformly convex spaces

Discussion

Member takes

Implication

Key Points

Cite This Study