TY  - BOOK
AU  - Arsove,Maynard
AU  - Leutwiler,Heinz
TI  - Algebraic potential theory
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470406301 (online)
AV  - QA3QA322 .A57 no. 226
U1  - 510/.8 s515/.73 
PY  - 1980///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Riesz spaces
KW  - Potential theory (Mathematics)
N1  - 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0226
UR  - http://dx.doi.org/10.1090/memo/0226
ER  -