Article contents
An Integral Representation for the Product of Spectral Measures
Published online by Cambridge University Press: 20 November 2018
Extract
Let be a Hilbert space with inner product (•, •) and let E(•) and E0(•) be spectral measures in
corresponding to self-adjoint operators
and
. In this paper we consider the set function ƒ(I × J) = E(I)E0(J) defined on the semiring of bounded rectangles, and obtain an integral representation for this set function for disjoint I, J under the hypotheses that H — H0 is a type of Carleman operator.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1968
References
- 1
- Cited by