A counterexample to the corona theorem for operators on \(H^ 2(\mathbb D^ n)\).

DOI10.2140/pjm.2002.206.257zbMath1067.47036OpenAlexW2029029531WikidataQ124984326 ScholiaQ124984326MaRDI QIDQ1858323

Chantal Menini, Eric Amar

Publication date: 13 February 2003

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.206.257

zbMATH Keywords

counterexamplesoperator corona problemunconditional system

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Functional analysis techniques applied to functions of several complex variables (32A70) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (7)

Unnamed Item ⋮ ON SOME NEW UNIFORM ESTIMATES AND MAXIMAL THEOREMS FOR H^p SPACES ⋮ Analytic classes on subframe and expanded disk and the \(\mathcal R\)s differential operator in polydisk ⋮ On traces in some analytic spaces in bounded strictly pseudoconvex domains ⋮ On some inequalities in holomorphic function theory in polydisk related to diagonal mapping ⋮ ON TRACES OF ANALYTIC HERZ AND BLOCH TYPE SPACES IN BOUNDED STRONGLY PSEUDOCONVEX DOMAINS IN C^n ⋮ On Traces in Hardy Type Analytic Spaces in Bounded Strictly Pseudoconvex Domains and in Tubular Domains over Symmetric Cones

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