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Algebraic Potential Theory.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1980Copyright date: ©1980Edition: 1st edDescription: 1 online resource (137 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470406301
Subject(s): Genre/Form: Additional physical formats: Print version:: Algebraic Potential TheoryDDC classification:
  • 510/.8 s;515/.73
LOC classification:
  • QA322 -- .A77 1980eb
Online resources:
Contents:
Intro -- Table of Contents -- 1. Mixed lattice semigroups -- 2. Equivalent forms of Axiom I -- 3. The calculus of mixed envelopes -- 4. Strong suprema and infima -- 5. Harmonic ideals and bands -- 6. Preharmonic and potential bands -- 7. Riesz decompositions and projections -- 8. Quasibounded and singular elements -- 9. Superharmonic semigroups -- 10. Pseudo projections and balayage operators -- 11. Quasi-units and generators -- 12. Infinite series of quasi-units -- 13. Generators -- 14. Increasing additive operators -- 15. Potential operators and induced specific projection bands -- 16. Some remarks on duals and biduals -- 17. Axioms for the hyperharmonic case -- 18. The operators S and Q -- 19. The weak band of cancellable elements -- 20. Hyperharmonic semigroups -- 21. The classical superharmonic semigroups and some abstractions.
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Intro -- Table of Contents -- 1. Mixed lattice semigroups -- 2. Equivalent forms of Axiom I -- 3. The calculus of mixed envelopes -- 4. Strong suprema and infima -- 5. Harmonic ideals and bands -- 6. Preharmonic and potential bands -- 7. Riesz decompositions and projections -- 8. Quasibounded and singular elements -- 9. Superharmonic semigroups -- 10. Pseudo projections and balayage operators -- 11. Quasi-units and generators -- 12. Infinite series of quasi-units -- 13. Generators -- 14. Increasing additive operators -- 15. Potential operators and induced specific projection bands -- 16. Some remarks on duals and biduals -- 17. Axioms for the hyperharmonic case -- 18. The operators S and Q -- 19. The weak band of cancellable elements -- 20. Hyperharmonic semigroups -- 21. The classical superharmonic semigroups and some abstractions.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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