Strong duality for infinite-dimensional vector-valued programming problems
β Scribed by H. C. Lai; L. S. Yang
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 773 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0022-3239
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let X be a complex Banach space and L 1 (X ) :=L 1 (T; X) the Bochner space on the circle T. The X-valued Hardy space , extremal kernels and functions for this duality are studied. Proximinality fails for X :=L 1 ΓH 1 0 ; this is equivalent to the assertion that for 4 := N\_Z \_ Z\_N, L 1 4 (T 2 )
For a class of inΓΏnite-dimensional systems we obtain a simple frequency domain solution for the suboptimal Nehari extension problem. The approach is via J -spectral factorization, and it uses the concept of an equalizing vector. Moreover, the connection between the equalizing vectors and the Nehari
We give new regularity conditions for convex optimization problems in separated locally convex spaces. We completely characterize the stable strong and strong Fenchel-Lagrange duality. Then we give similar statements for the case when a solution of the primal problem is assumed as known, obtaining c