The Cayley transform of Banach algebras.
A weak law of large numbers for the sample covariance matrix.
Isomorphisms of some reflexive algebras
Suppose ℒ₁ and ℒ₂ are subspace lattices on complex separable Banach spaces X and Y, respectively. We prove that under certain lattice-theoretic conditions every isomorphism from algℒ₁ to algℒ₂ is quasi-spatial; in particular, if a subspace lattice ℒ of a complex separable Banach space X contains a sequence such that , , and then every automorphism of algℒ is quasi-spatial.
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