English

On peak phenomena for non-commutative $H^\infty$

Operator Algebras 2019-05-21 v4 Functional Analysis

Abstract

A non-commutative extension of Amar and Lederer's peak set result is given. As its simple applications it is shown that any non-commutative HH^\infty-algebra H(M,τ)H^\infty(M,\tau) has unique predual,and moreover some restriction in some of the results of Blecher and Labuschagne are removed, making them hold in full generality.

Keywords

Cite

@article{arxiv.0802.3449,
  title  = {On peak phenomena for non-commutative $H^\infty$},
  author = {Yoshimichi Ueda},
  journal= {arXiv preprint arXiv:0802.3449},
  year   = {2019}
}

Comments

final version (the presentation of some part is revised and one reference added)

R2 v1 2026-06-21T10:15:20.535Z