On smooth perturbations of selfadjoint operators defined on a rigged HILBERT space
β Scribed by John B. Butler jr.
- Publisher
- John Wiley and Sons
- Year
- 1972
- Tongue
- English
- Weight
- 599 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Pseudodifferential operators with symbols on a Hilbert phase space are defined as symmetric operators in L2 given by a smooth measure. The main formulae of symbolic calculus are proved in this context.
Abrtract. Sufficient conditions are given such that the product T1T2 of two unbounded operators in Hilbert spaces is essentially selfadjoint and that the nonzero numbers in the essential spectrum of the closure of TlT2 coincide with the nonzero numbers in the essential spectrum of T2T1. If the essen
Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.