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Dividing in the Algebra of Compact Operators
The Journal of Symbolic Logic
Vol. 69, No. 3 (Sep., 2004), pp. 817-829
Published by: Association for Symbolic Logic
Stable URL: http://www.jstor.org/stable/30041760
Page Count: 13
You can always find the topics here!Topics: Hilbert spaces, Algebra, Mathematical vectors, Linear transformations, Adjoints, Mathematical logic, Banach space, First order theories, Model theory, Rational numbers
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We interpret the algebra of finite rank operators as imaginaries inside a Hilbert space. We prove that the Hilbert space enlarged with these imaginaries has built-in canonical bases.
The Journal of Symbolic Logic © 2004 Association for Symbolic Logic