## Abstract In spline spaces there are often totally positive bases possessing a strong property called almost strictly total positivity. In this paper, it is proved that, for totally positive bases of continuous functions __B__, the following concepts are equivalent: (i) __B__ is almost strictly t
✦ LIBER ✦
Positive bases in spaces of polynomials
✍ Scribed by Bálint Farkas; Szilárd Gy. Révész
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 299 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1385-1292
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We begin by giving, in Section 1, a number of conditions including compactness and weak sequential continuity, which are equivalent to the existence of monomial bases. We apply these equivalences and the Gon-zalo᎐Jaramillo indexes to the problem of existence of monomial bases in spaces of multilinea