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On Unitary Equivalence of Matrices over the Ring of Continuous Complex-Valued Functions on a Stonian Space

Published online by Cambridge University Press:  20 November 2018

Carl Pearcy
Carl Pearcy*
Affiliation:
Humble Oil & Refining Company
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This paper is a continuation of the earlier papers (1, 5) in which the author studied matrices with entries from the algebra C() of all continuous, complex-valued functions on an extremely disconnected, compact Hausdorff space . (Such spaces are sometimes called Stonian, after M. H. Stone, who first considered them in (8). They arise naturally as maximal ideal spaces of abelian W*-algebras.) In this note, three theorems are proved.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 323 - 331
Copyright
Copyright © Canadian Mathematical Society 1963

References

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