Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Chebyshev rank in $ L\sb 1$-approximation


Author: András Kroó
Journal: Trans. Amer. Math. Soc. 296 (1986), 301-313
MSC: Primary 41A52; Secondary 41A65
MathSciNet review: 837813
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ {C_\omega }(K)$ denote the space of continuous functions endowed with the norm $ {\smallint _K}\omega \left\vert f \right\vert = {\left\Vert f \right\Vert _\omega },\omega > 0$. In this paper we characterize the subspaces $ {U_n} \subset {C_\omega }(K)$ having Chebyshev rank at most $ k\;(0 \leq k \leq n - 1)$ with respect to all bounded positive weights $ \omega $. Various applications of main results are also presented.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 41A52, 41A65

Retrieve articles in all journals with MSC: 41A52, 41A65


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0837813-5
PII: S 0002-9947(1986)0837813-5
Article copyright: © Copyright 1986 American Mathematical Society