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Normal Operators on the Banach Space Lp(-∞,∞). Part I
Published online by Cambridge University Press: 20 November 2018
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Let be the Boolean algebra of all finite unions of subcells of the plane. Denote by εpthe algebra of all linear bounded transformations of Lp(— ∞, ∞) into itself. Suppose for a moment that p = 2, and let Rp be an involutive abelian subalgebra of εp if Rp is also a Banach space and if Tp ∈ Rp, then:
(i) The family of all homomorphic mappings of into the algebra Rp contains a member EPT such that
(1)
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- Copyright © Canadian Mathematical Society 1961
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