Proves Wickstead's conjecture on the possible values of α for positive projections on Dedekind complete Banach lattices, implying non-representable 2D Banach lattice algebras.
Banach lattice algebras: some questions, but very few answers
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The free Banach f-algebra FBfA[E] is constructed with a C(B_E*) representation that is injective on completion precisely when semiprime, which holds for finite-dimensional E or E = L1(μ), plus an extension theorem for real lattice-algebra homomorphisms from closed sublattice-algebras.
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Wickstead's conjecture on positive projections and non-representable Banach lattice algebras
Proves Wickstead's conjecture on the possible values of α for positive projections on Dedekind complete Banach lattices, implying non-representable 2D Banach lattice algebras.
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Free Banach $f$-algebras
The free Banach f-algebra FBfA[E] is constructed with a C(B_E*) representation that is injective on completion precisely when semiprime, which holds for finite-dimensional E or E = L1(μ), plus an extension theorem for real lattice-algebra homomorphisms from closed sublattice-algebras.