On an extremal problem of Garcia and Ross

Isabelle Chalendar (1) , Emmanuel Fricain (1) , Dan Timotin (2)

1 ICJ - Institut Camille Jordan
2 IMAR - "Simion Stoilow" Institute of Mathematics

We show the equivalence of two extremal problems on Hardy spaces, thus answering a question posed by Garcia and Ross. The proof us es a slight generalization of complex symmetric operators.

Domaines: Analyse fonctionnelle [math.FA]

Isabelle Chalendar, Emmanuel Fricain, Dan Timotin. On an extremal problem of Garcia and Ross. Operators and Matrices, 2009, 3 (4), pp.541-546. ⟨10.7153/oam-03-31⟩. ⟨hal-00946826⟩