Stationary points of functionals in pre-Hilbert spaces
β Scribed by E.K. Blum
- Publisher
- Elsevier Science
- Year
- 1967
- Tongue
- English
- Weight
- 154 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
β¦ Synopsis
A gradient procedure for determining the stationary points of a functional subject to equality functional constraints is described. It is proved that the procedure converges in the neighborhood of certain well-behaved stationary points.
π SIMILAR VOLUMES
## Abstract Let __S__ be a preβHilbert space. Two classes of closed subspaces of __S__ that can naturally replace the lattice of projections in a Hilbert space are __E__ (__S__) and __F__ (__S__), the classes of splitting subspaces and orthogonally closed subspaces of __S__ respectively. It is well
We present six families of closed subspaces of a pre-Hilbert space and we show that if arbitrary, one of them possesses at least one completely additive state, then the pre-Hilbert space is complete.