| Title |
Exposedness in Bernstein spaces / |
| Translation of Title |
Eksponavimas Bernšteino erdvėse. |
| Authors |
Norvidas, Saulius |
| DOI |
10.15388/LMR.2007.19767 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. 2007, T. 47, spec, Nr, p. 128-132.. ISSN 0132-2818 |
| Keywords [eng] |
Space, Bernstein ; Function, entire, of exponential type ; Function, sine-type ; Point, exposed |
| Abstract [eng] |
The Bernstein space [...] consists of those L^p(R)-functions whose Fourier transforms are supported on [−σ,σ]. Every function in [...] has an analytic extension onto the complex plane C which is an entire function of exponential type at most σ. Since [...] is a conjugate Banach space, its closed unit ball [...] has nonempty sets of both extreme and exposed points. These sets are nontrivially arranged only in the cases p=1 and p=∞. In this paper, we investigate some properties of exposed functions in [...] and illustrate them by several examples. |
| Type |
Journal article |
| Language |
English |
| Publication date |
2007 |
| CC license |
|
