IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Products of Positive Operators
Autor/es:
CONTINO, MAXIMILIANO; MARCANTOGNINI, STEFANIA; MAESTRIPIERI, ALEJANDRA; DRITSCHEL, MICHAEL A.
Revista:
COMPLEX ANALYSIS AND OPERATOR THEORY
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2021 vol. 15
ISSN:
1661-8254
Resumen:
On finite dimensional spaces, it is apparent that an operator is the product of two positive operators if and only if it is similar to a positive operator. Here, the class L+2 of bounded operators on separable infinite dimensional Hilbert spaces which can be written as the product of two bounded positive operators is studied. The structure is much richer, and connects (but is not equivalent to) quasi-similarity and quasi-affinity to a positive operator. The spectral properties of operators in L+2 are developed, and membership in L+2 among special classes, including algebraic and compact operators, is examined.
