@inbook{da12d829ea8f490d8b59237e667af9e0,
title = "Spaces Lp, 1≤ p≤∞",
abstract = "In this chapter we study the class of Lp spaces, 1 ≤ p≤∞, which is one of the most important classes of symmetric spaces. We begin with the H{\"o}lder and Minkowski inequalities and prove that Lp is a symmetric space for all 1 ≤ p ≤ ∞. In the case 1 ≤ p < ∞, we show that Lp is separable and describe its dual.",
author = "Rubshtein, {Ben Zion A.} and Grabarnik, {Genady Ya} and Muratov, {Mustafa A.} and Pashkova, {Yulia S.}",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",
year = "2016",
month = jan,
day = "1",
doi = "10.1007/978-3-319-42758-4_2",
language = "English",
series = "Developments in Mathematics",
publisher = "Springer New York LLC",
pages = "17--27",
booktitle = "Developments in Mathematics",
}