On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules
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Publication:2514117
DOI10.1007/s00006-014-0503-zzbMath1308.30059OpenAlexW2014101100MaRDI QIDQ2514117
Cesar Octavio Pérez-Regalado, Maria Elena Luna-Elizarrarás, Michael V. Shapiro
Publication date: 30 January 2015
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-014-0503-z
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Integration of functions of a hyperbolic variable ⋮ Topological bicomplex modules ⋮ Kolmogorov's axioms for probabilities with values in hyperbolic numbers ⋮ Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras ⋮ On the bicomplex Gleason-Kahane-Żelazko theorem ⋮ Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem ⋮ Unnamed Item ⋮ On the mean ergodic theorem in bicomplex Banach modules ⋮ The Schwarz lemma in bicomplex analysis ⋮ Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars ⋮ Unnamed Item ⋮ Bernstein-type Inequalities for Bicomplex Polynomials ⋮ Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem ⋮ AN ANALOGY OF HAHN–BANACH SEPARATION THEOREM FOR NEARLY TOPOLOGICAL LINEAR SPACES ⋮ Unnamed Item ⋮ Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers
Cites Work
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- Complex Laplacian and derivatives of bicomplex functions
- The Hahn-Banach theorem for partially ordered totally convex, positively convex and superconvex modules
- The Hahn-Banach theorem: The life and times
- Bicomplex Holomorphic Functions
- A Generalization of the Hahn-Banach Theorem
- Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
- Extensions of functionals on complex linear spaces
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