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Algebraic potential theory /
Global aspects of classical and axiomatic potential theory are developed in a purely algebraic way, in terms of a new algebraic structure called a mixed lattice semigroup. This generalizes the notion of a Riesz space (vector lattice) by replacing the usual symmetrical lower and upper envelopes by un...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
1980.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 226. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Global aspects of classical and axiomatic potential theory are developed in a purely algebraic way, in terms of a new algebraic structure called a mixed lattice semigroup. This generalizes the notion of a Riesz space (vector lattice) by replacing the usual symmetrical lower and upper envelopes by unsymmetrical "mixed" lower and upper envelopes, formed relative to specific order on the first element and initial order on the second. The treatment makes essential use of a calculus of mixed envelopes, in which the main formulas and inequalities are derived through the use of certain semigroups of nonlinear operators. Techniques based on these operator semigroups are new even in the classical setting. |
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| Descripción Física: | 1 online resource (v, 130 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 128-130). |
| ISBN: | 9781470406301 1470406306 |
| ISSN: | 1947-6221 ; 0065-9266 |