Cartesian and polar decompositions of hyponormal operators
β Scribed by Peng Fan
- Publisher
- Springer-Verlag
- Year
- 1985
- Tongue
- French
- Weight
- 363 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
T . Clearly, for such operators, T\*kTk= (T\*T)k for all k z 2 . This fact provides a motivation to generalize the class of quasi-normal operators as follows: An operator T is defined to be of class Obviously ( M ; 2 ) contains hyponormal operators. However, we shall show that the class ( M ; k ) ,
We define the multicycle C (r) m as a cycle on m vertices where each edge has multiplicity r. So C (r) m can be decomposed into r Hamilton cycles. We provide a complete answer to the following question: for which positive integers m, n, r, s with m, n β₯ 3 can the Cartesian product of two multicycles
We characterize the sets X of all products PQ , and Y of all products PQP, where P, Q run over all orthogonal projections and we solve the problems arg min{ P -Q : We also determine the polar decompositions and Moore-Penrose pseudoinverses of elements of X.
## Abstract We study the structure of complemented subspaces in Cartesian products __X__ Γ __Y__ of KΓΆthe spaces __X__ and __Y__ under the assumption that every linear continuous operator from __X__ to __Y__ is bounded. In particular, it is proved that each nonβMontel complemented subspace with abs