Strongly omnipresent operators: general conditions and applications to composition operators

DOI10.1017/S1446788700036764zbMath1027.30060OpenAlexW2152636062MaRDI QIDQ4805452

Karl-Goswin Grosse-Erdmann, Luis Bernal-González, María del Carmen Calderón-Moreno

Publication date: 14 May 2003

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700036764

zbMATH Keywords

composition operatorresidual setstrongly omnipresent operator\(T\)-monster

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Approximation in the complex plane (30E10) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (7)

Maximal cluster sets on spaces of holomorphic functions ⋮ Universal holomorphic and harmonic functions with additional properties ⋮ Operators with dense images everywhere ⋮ Holomorphic surjectivity near the boundary: topological and algebraic genericity ⋮ Simultaneously maximal radial cluster sets ⋮ Strongly omnipresent integral operators ⋮ Dense linear manifolds of monsters

Cites Work

• Unnamed Item
• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Holomorphic monsters
• Multiply universal holomorphic functions
• Holomorphic \(T\)-monsters and strongly omnipresent operators
• Mean Periodic Functions: Part I. Varieties Whose Annihilator Ideals Are Principal

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