Embeddings of \(l^ m_ p\) into \(l^ n_{\infty}\), 1\(\leq p\leq 2\)

DOI10.1007/BF02801991zbMath0612.41041MaRDI QIDQ1088096

Jan-Ove Larsson

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite dimensional spacesIsomorphic embeddingslinear embeddings

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• Unnamed Item
• Embedding \(l_ p^ m\) into \(l_ 1^ n\)
• The cotype constant and an almost Euclidean decomposition for finite- dimensional normed spaces
• Large subspaces of \(\ell^n_\infty\) and estimates of the Gordon-Lewis constant
• Random embeddings of Euclidean spaces in sequence spaces
• Norms of random matrices
• On uncomplemented subspaces of \(L_p\), \(1<p<2\)
• The dimension of almost spherical sections of convex bodies