An Archimedean lattice-ordered algebra with identity admits a polynomial-growth continuous function calculus for an n-tuple if and only if there is a dominating element f and an f-subalgebra on which the associated weighted norms are complete.
The range of lattice homomorphisms onf-algebras,
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Lattice-ordered algebras admitting a polynomial growth continuous function calculus
An Archimedean lattice-ordered algebra with identity admits a polynomial-growth continuous function calculus for an n-tuple if and only if there is a dominating element f and an f-subalgebra on which the associated weighted norms are complete.