Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Extensions of symmetric operators I: The inner characteristic function case

100%

Martin R. T. W.

Concrete Operators

2015

tom 2

nr 1

Given a symmetric linear transformation on a Hilbert space, a natural problem to consider is the characterization of its set of symmetric extensions. This problem is equivalent to the study of the partial isometric extensions of a fixed partial isometry. We provide a new function theoretic characterization of the set of all self-adjoint extensions of any symmetric linear transformation B with finite equal indices and inner Livšic characteristic function θB by constructing a bijection between the quotient of this set by a certain natural equivalence relation and the set of all contractive analytic functions φ which are greater or equal to θB.

Ograniczanie wyników

1 Concrete Operators

1 Martin R. T. W.

1 2015

Wyniki wyszukiwania

Extensions of symmetric operators I: The inner characteristic function case