Unitary extensions of Hilbert \(A(D)\)-modules split

DOI10.1016/J.JFA.2006.02.002zbMath1113.46067OpenAlexW2079486164MaRDI QIDQ852594

Michael Didas, Jörg Eschmeier

Publication date: 15 November 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.02.002

zbMATH Keywords

disk algebraprojective resolution

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (3)

\(A\)-isometries and Hilbert-\(A\)-modules over product domains ⋮ On the unilateral shift as a Hilbert module over the disc algebra ⋮ Jörg Eschmeier's mathematical work

Cites Work

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• Inner functions on compact spaces
• Projective Hilbert A(D)-modules
• Projectivity and extensions of Hilbert modules over \(\mathbb{A}(\mathbb{D}^ N)\)
• Cohomology and extensions of Hilbert modules
• Projectivity of Hilbert modules over uniform algebras
• Normal Hilbert modules over the ball algebra A(B)
• Dual algebras generated by von Neumann n-tuples over strictly pseudoconvex sets

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