Algebraic Potential Theory.
Arsove, Maynard.
Algebraic Potential Theory. - 1st ed. - 1 online resource (137 pages) - Memoirs of the American Mathematical Society ; v.23 . - Memoirs of the American Mathematical Society .
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.
9781470406301
Riesz spaces.
Potential theory (Mathematics).
Electronic books.
QA322 -- .A77 1980eb
510/.8 s;515/.73
Algebraic Potential Theory. - 1st ed. - 1 online resource (137 pages) - Memoirs of the American Mathematical Society ; v.23 . - Memoirs of the American Mathematical Society .
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.
9781470406301
Riesz spaces.
Potential theory (Mathematics).
Electronic books.
QA322 -- .A77 1980eb
510/.8 s;515/.73