William Ellison Longstaff's Books

Those families of (closed) subspaces of a (real or complex) Banach space that arise as the set of atoms of an atomic Boolean algebra subspace lattice, abbreviated ABSL, are characterized. This characterization is used to obtain new examples of ABSL's including some with one-dimensional atoms. ABSL's with one-dimensional atoms arise precisely from strong [italic capital]M-bases. The strong rank one density problem for ABSL's is discussed and some affirmative results are presented. Several new areas of investigation in the theory of ABSL's are uncovered.

Book's by William Ellison Longstaff

Atomic Boolean Subspace Lattices and Applications to the Theory of Bases

Atomic Boolean Subspace Lattices and Applications to the Theory of Bases

Reminiscences of the Hull General Infirmary

Reminiscences of the Hull General Infirmary

A Treatise on Wills

A Treatise on Wills

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