TY - BOOK AU - Arsove,Maynard AU - Leutwiler,Heinz TI - Algebraic Potential Theory T2 - Memoirs of the American Mathematical Society SN - 9781470406301 AV - QA322 -- .A77 1980eb U1 - 510/.8 s;515/.73 PY - 1980/// CY - Providence PB - American Mathematical Society KW - Riesz spaces KW - Potential theory (Mathematics) KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113519 ER -