Embedding Inp into r-Banach Spaces, 0 < r ≤ p < 2
نویسندگان
چکیده
منابع مشابه
BANACH SPACES EMBEDDING ISOMETRICALLY INTO Lp WHEN 0<p<l
For 0 < p < 1 we give examples of Banach spaces isometrically embedding into Lp but not into any Lr with p < r < 1.
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Our main result in this paper is that a Banach space X embeds into L, if and only if l~(X) embeds into Lo; more generally if 1 _-< p < 2, X embeds into Lp if and only if lp (X) embeds into L~,.
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For 0 < p < 1 we give examples of Banach spaces isometrically embedding into Lp but not into any Lr with p < r ≤ 1.
متن کاملEmbedding Levy Families into Banach Spaces
We prove that if a metric probability space with a usual concentration property embeds into a finite dimensional Banach space X , then X has a Euclidean subspace of a proportional dimension. In particular this yields a new characterization of weak cotype 2. We also find optimal lower estimates on embeddings of metric spaces with concentration properties into l ∞, generalizing estimates of Bourg...
متن کاملBANACH SPACES EMBEDDING ISOMETRICALLY INTO Lp
For 0 < p < 1 we give examples of Banach spaces isometrically embedding into Lp but not into any Lr with p < r ≤ 1.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1993
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1313