Positive sesquilinear form measures and generalized eigenvalue expansions
نویسندگان
چکیده
منابع مشابه
Positive Sesquilinear Form Measures and Generalized Eigenvalue Expansions
Positive operator measures (with values in the space of bounded operators on a Hilbert space) and their generalizations, mainly positive sesquilinear form measures, are considered with the aim of providing a framework for their generalized eigenvalue type expansions. Though there are formal similarities with earlier approaches to special cases of the problem, the paper differs e.g. from standar...
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Suppose 2n + 1 ≥ p + q. In an earlier paper in 2000 we study a certain sesquilinear form (, )π introduced by Jian-Shu Li in 1989. For π in the semistable range of θ(MO(p, q) → MSp2n(R)), if (, )π does not vanish, then it induces a sesquilinear form on θ(π). In another work in 2000 we proved that (, )π is positive semidefinite under a mild growth condition on the matrix coefficients of π. In thi...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.03.051