Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalars
| Autor: | Romesh Kumar, Aditi Sharma, Heera Saini |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Mathematics::Functional Analysis
Pure mathematics Uniform boundedness principle Mathematics::K-Theory and Homology Applied Mathematics Mathematics::Classical Analysis and ODEs Hahn–Banach theorem Closed graph theorem Mutual fund separation theorem Open mapping theorem (functional analysis) Mathematics |
| Zdroj: | Advances in Applied Clifford Algebras. 30 |
| ISSN: | 1661-4909 0188-7009 |
| DOI: | 10.1007/s00006-020-01092-6 |
| Popis: | We discuss some properties of linear functionals on topological hyperbolic and topological bicomplex modules. The hyperbolic and bicomplex analogues of the uniform boundedness principle, the open mapping theorem, the closed graph theorem and the Hahn Banach separation theorem are proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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