You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Boolean Algebras of Projections and Scalar-Type Spectral Operators
Proceedings of the American Mathematical Society
Vol. 87, No. 1 (Jan. - Apr., 1983), pp. 73-77
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2044355
Page Count: 5
You can always find the topics here!Topics: Mathematical functions, Boolean algebras, Algebra, Mathematical vectors, Topological theorems, Projective geometry, Topology, Mathematical theorems, Banach space, Indefinite integrals
Were these topics helpful?See somethings inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
It is shown that the weakly closed operator algebra generated by an equicontinuous $\sigma$-complete Boolean algebra of projections on a quasi-complete locally convex space consists entirely of scalar-type operators. This extends W. Bade's well-known theorem that the same assertion is valid for Banach spaces; however, the technique of proof here differs from his method, which extends only to metrizable spaces.
Proceedings of the American Mathematical Society © 1983 American Mathematical Society