Netuka, Ivan Monotone extensions of operators and the first boundary value problem. (English) Zbl 0527.46003 Differential equations and their applications, Equadiff 5, Proc. 5th Czech. Conf., Bratislava 1981, Teubner-Texte Math. 47, 268-271 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators 47B60 Linear operators on ordered spaces 31D05 Axiomatic potential theory 35J25 Boundary value problems for second-order elliptic equations 35K20 Initial-boundary value problems for second-order parabolic equations 46A40 Ordered topological linear spaces, vector lattices Keywords:generalized Dirichlet problem; space of harmonic functions; Keldys theorem; uniqueness of extensions of operators on Riesz spaces; Choquet theory; first boundary value problem Citations:Zbl 0507.00006 PDF BibTeX XML