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 |
---|---|
Autores principales: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Providence, R.I. :
American Mathematical Society,
1980.
|
Colección: | Memoirs of the American Mathematical Society ;
no. 226. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Mixed lattice semigroups
- Equivalent forms of Axiom I
- The calculus of mixed envelopes
- Strong suprema and infima
- Harmonic ideals and bands
- Preharmonic and potential bands
- Riesz decompositions and projections
- Quasibounded and singular elements
- Superharmonic semigroups
- Pseudo projections and balayage operators
- Quasi-units and generators
- Infinite series of quasi-units
- Generators
- Increasing additive operators
- Potential operators and induced specific projection bands
- Some remarks on duals and biduals
- Axioms for the hvperharmonic case
- The operators S and Q
- The weak band of cancellable elements
- Hyperharmonic semigroups
- The classical superharmonic semigroups and some abstractions.