Premium
Embedding Subspaces of L p into 𝓁 N p , 0 < p < 1
Author(s) -
Schechtman Gideon,
Zvavitch Artem
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200107)227:1<133::aid-mana133>3.0.co;2-8
Subject(s) - linear subspace , mathematics , subspace topology , embedding , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , artificial intelligence , computer science
It is shown that if X is an n – dimensional subspace of L p , 0 < p < 1, then there exists a subspace Y of N p such that d ( X , Y ) ≤ 1 + ε and N ≤ C ( ε , p ) n (log n ) 3 .