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On Basis Properties of Selfadjoint Operator Functions

✍ Scribed by T.Ya. Azizov; A. Dijksma; L.I. Sukhocheva

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
249 KB
Volume
178
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis

to heinz langer with best wishes on the occasion of his 65th birthday For a selfadjoint operator function we study the existence of a Riesz basis consisting of eigenvectors if not for the whole space then at least for the closed linear span of all the eigenvectors.

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Under semi-continuity conditions, a determination of the satisfaction of preinvexity for a function can be achieved via an intermediate-point preinvexity check. A characterization of a preinvex function in terms of its relationship with an intermediate-point preinvexity and prequasi-invexity is prov