Algebraic potential theory / [electronic resource] Maynard Arsove and Heinz Leutwiler.

By: Arsove, Maynard, 1922-Contributor(s): Leutwiler, Heinz, 1939- [joint author.]Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 226.Publication details: Providence, R.I. : American Mathematical Society, 1980Description: 1 online resource (v, 130 p.)ISBN: 9781470406301 (online)Subject(s): Riesz spaces | Potential theory (Mathematics)Additional physical formats: Algebraic potential theory /DDC classification: 510/.8 s | 515/.73 LOC classification: QA3 | .A57 no. 226 | QA322Online resources: Contents | Contents
Contents:
Introduction 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 hvperharmonic 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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Bibliography: p. 128-130.

Introduction 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 hvperharmonic 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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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