Differentiable, holomorphic, and analytic functions on complex \(\Phi\)-algebras

DOI10.1016/J.JMAA.2024.128671MaRDI QIDQ6614367

Mark Roelands, Christopher Schwanke

Publication date: 7 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

analytic functionholomorphic functiondifferentiationcomplex vector lattice

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Ordered topological linear spaces, vector lattices (46A40) Generalized function theory (30G99)

Cites Work

• Extension of positive operators and Korovkin theorems
• Vector lattices and \(f\)-algebras: the classical inequalities
• The sup-completion of a Dedekind complete vector lattice
• The de Schipper formula and squares of Riesz spaces
• Completeness for vector lattices
• Series and power series on universally complete complex vector lattices
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