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math.FA2007★ 4 cited
Diagonalization and representation results for nonpositive sesquilinear form measures
Tuomas Hytonen, Juha-Pekka Pellonpaa, Kari Ylinen
We study decompositions of operator measures and more general sesquilinear form measures into linear combinations of positive parts, and their diagonal vector expansions. The u…
math.FA2007★ 22 cited
Positive sesquilinear form measures and generalized eigenvalue expansions
Tuomas Hytönen, Juha-Pekka Pellonpää, Kari Ylinen
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…