Representations of Hermitian Kernels by Means of Krein Spaces
Representations of Hermitian Kernels by Means of Krein Spaces
Hermitian kernels are studied as generalizations of kernels of positive type. The main tool is the axiomatic concept of induced Krem space. The existence of Kolmogorov decompositions of a hermitian kernel and their uniqueness, modulo unitary equivalence, are characterized. The existence of reproducing kernel Krein spaces is shown to be …