Addendum: Closed ideals of operators between the classical sequence spaces: (Bull. Lond. Math. Soc. 49 (2017) 859–876). Issue 2 (24th December 2020)

• Record Type: Journal Article
• Authors: Freeman, D.; Schlumprecht, Th.; Zsák, A.
• Is Part Of: Bulletin of the London Mathematical Society. Volume 53:Issue 2(2021)
• Page Start: 593
• Page End: 595
• Publication Date: 2020-12-24
• Subjects: 47L20 (primary) -- 47B10 -- 47B37 (secondary); Mathematics -- Periodicals; 510
• DOI: 10.1112/blms.12444
• Languages: English
• ISSNs: 0024-6093

Abstract

Abstract: In Theorems A and B of [1], we state that for 1 < p < ∞ the lattice of closed ideals of L ( ℓ p, c 0 ), L ( ℓ p, ℓ ∞ ) and of L ( ℓ 1, ℓ p ) are at least of cardinality c, the continuum. What our proof actually shows is that the cardinality of the lattice of closed ideals of L ( ℓ p, c 0 ), L ( ℓ p, ℓ ∞ ) and of L ( ℓ 1, ℓ p ), is at least 2 c, and thus equal to it.