activity
20022024
most citedHereditary subalgebras of operator algebras

46 citations · 84 across the 16 of their papers we have counts for

collaborators

20 papers

math.OA2024

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,…

math.OA2024

-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…

math.OA2019★ 4 cited

Contractive projections and real positive maps on operator algebras

David P. Blecher, Matthew Neal

We study contractive projections, isometries, and real positive maps on algebras of operators on a Hilbert space. For example we find generalizations and variants of certain classi…

math.OA2017

Noncommutative topology and Jordan operator algebras

David P. Blecher, Matthew Neal

Jordan operator algebras are norm-closed spaces of operators on a Hilbert space with for all . We study noncommutative topology, noncommutative peak sets and p…

math.OA2015★ 16 cited

Completely contractive projections on operator algebras

David P. Blecher, Matthew Neal

The main goal of this paper is to find operator algebra variants of certain deep results of Stormer, Friedman and Russo, Choi and Effros, Effros and Stormer, Robertson and Youngson…

math.OA2012

A holomorphic characterization of operator algebras

Matthew Neal, Bernard Russo

A necessary and sufficient condition for an operator space to support a multiplication making it completely isometric and isomorphic to a unital operator algebra is proved. The con…