46 citations · 341 across the 74 of their papers we have counts for
5 papers · 1 filter
Geometric influences on quantum Boolean cubes
David P. Blecher, Li Gao, Bang Xu
In this work, we study three problems related to the -influence on quantum Boolean cubes. In the first place, we obtain a dimension free bound for -influence, which impli…
A missing theorem on dual spaces
David P. Blecher
We answer in the affirmative the surprisingly difficult questions: If a complex Banach space possesses a real predual X, then is X a complex Banach space? If a complex Banach space…
M-ideals in real operator algebras
David P. Blecher, Matthew Neal, Antonio M. Peralta +1
In a recent paper we showed that a subspace of a real JBW*-triple is an M-summand if and only if it is a weak*-closed triple ideal. As a consequence, M-ideals of real JB*-triples,…
Null projections and noncommutative function theory in operator algebras
David P. Blecher, Raphaël Clouâtre
We study projections in the bidual of a -algebra that are null with respect to a subalgebra , that is projections satisfying for every $ϕ\in B^…
-ideals, yet again: the case of real JB-triples
David P. Blecher, Matthew Neal, Antonio M. Peralta +1
We prove that a subspace of a real JBW-triple is an -summand if and only if it is a weak-closed triple ideal. As a consequence, -ideals of real JB-triples corresp…