Extreme and smooth points in lorentz and marcinkiewicz spaces with applications to contractive projections

Anna Kamińska, Han Ju Lee, Grzegorz Lewicki

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We characterize extreme and smooth points in the Lorentz sequence space d(w, 1) and in Marcinkiewicz sequence spaces d*(w, 1) and d*(w, 1), which are predual and dual spaces to d(w, 1), respectively. We then apply these characterizations for studying the relationship between the existence sets and one-complemented subspaces in d(w, 1). We show that a subspace of d(w, 1) is an existence set if and only if it is one-complemented.

Original languageEnglish
Pages (from-to)1533-1572
Number of pages40
JournalRocky Mountain Journal of Mathematics
Volume39
Issue number5
DOIs
StatePublished - 2009

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