14
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Proximinality and unicity in vector-valued function spaces

&
Pages 23-29 | Received 12 Feb 1992, Accepted 30 Jul 1993, Published online: 15 May 2007

References

  • Deeb , W. and Khalil , R. 1989 . Best approximation in L p (I X), 0<p>1 . J. Approximation Theory , 58 : 68 – 77 .
  • Deeb , W. and Khalil , R. 1988 . Best approximation in L(X Y) . Math. Proc. Camb. Phil. Soc. , 104 : 68 – 77 .
  • Diestel , J. and Uhl , J. R . 1977 . Vector Measures . Amer. Math. Soc. Math. Surveys , 15
  • Jarchow , H. 1981 . Locally convex spaces , Stuttgart : Teubner .
  • Karlin , S. and Studden , W. 1970 . Tchebycheff systems with applications in analysis and statistics , New York : John Wiley & Sons .
  • Kroo , A. 1982 . Best L 1-approximation of vector valued functions . Acta. Math. Acad. Sci. Hungarica , 39 : 303 – 313 .
  • Khalil , R. 1983 . Best approximation in L p(I X) . Math. Prob. Camb. Phil. Soc. , 94 : 277 – 279 .
  • Light , W. and Cheney , E. 1985 . “ Approximation theory in tensor product spaces ” . In Lecture Notes in Math. , Vol. 1169 , New York : Springer-Verlag .
  • Singer , I. 1970 . Best approximation in normed spaces , New York : Springer-Verlag .
  • Grothendieck , A. 1956 . Sur certaines classes de suites dans les espaces de Banach et le theoreme de Dvoretsky-Rogers . Boletin Sco. Mat. Sao Paulo , 8 : 81 – 110 .
  • Khalil , R. and Deeb , W. 1989 . Best approximation in L p (I X)II . J. Approximation Theory , 59 : 296 – 299 .
  • Cheney , W. and Franchetti , C. 1981 . Best approximation problems for multivariate functions . Boll. Un. Mat. ltal , B 18 : 1003 – 1015 .
  • Li , Wu . 1989 . Continuous metric selection and multivariate approximation . Math. Anal. Appl. , 143 : 187 – 197 .
  • Cheney , W. 1986 . Multivariate approximation theory: Selected topics , Philadelphia : SIAM .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.