Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Direct sums of irreducible operators

100%

Fang J., Jiang C.-L., Wu P.

Studia Mathematica

2003

tom 155

nr 1

37-49

It is known that every operator on a (separable) Hilbert space is the direct integral of irreducible operators, but not every one is the direct sum of irreducible ones. We show that an operator can have either finitely or uncountably many reducing subspaces, and the former holds if and only if the operator is the direct sum of finitely many irreducible operators no two of which are unitarily equivalent. We also characterize operators T which are direct sums of irreducible operators in terms of the C*-structure of the commutant of the von Neumann algebra generated by T.

Ograniczanie wyników

1 Studia Mathematica

1 Fang J.

1 Jiang C.-L.

1 Wu P.

1 2003

Wyniki wyszukiwania

Direct sums of irreducible operators