Premium
The l ∞ direct sum of L p (1 < p < ∞) is primary
Author(s) -
Wark H. M.
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdl010
Subject(s) - banach space , mathematics , primary (astronomy) , combinatorics , physics , discrete mathematics , astronomy
Using Szemeredi's theorem on arithmetic progressions, it is shown that, for 1 < p < ∞, the infinite l ∞ direct sum ( L p ⊕ L p ⊕ · · ·) l ∞ is a primary Banach space.