The continuity of increasing polynomial operators on ordered topological vector spaces

DOI10.1016/0362-546X(80)90081-4zbMath0466.46010OpenAlexW2020182024MaRDI QIDQ3918548

Vincent J. Bruno

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(80)90081-4

zbMATH Keywords

polynomial operatorsordered topological vector spacescontinuity of a positive linear operator

Mathematics Subject Classification ID

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ordered topological linear spaces, vector lattices (46A40)

Cites Work

• A Weierstrass theorem for real, separable Hilbert spaces
• The theory of differentiation in linear topological spaces
• Recent developments in infinite dimensional holomorphy
• Weighted Grothendieck Subspaces
• Polynomials and multilinear mappings in topological vector-spaces
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