On proximinality and sets of operators. I. Best approximation by finite rank operators

Aref Kamal

doi:10.1016/0021-9045(86)90038-9

On proximinality and sets of operators. I. Best approximation by finite rank operators

Aref Kamal^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper it is shown that K_n(X, C₀, (Q)) is proximinal in L(X, C₀(Q)) when X^* is uniformly convex, thus solving Problem 5.2.3 of Deutsch, Mach and, Saatkamp (J. Approx. Theory 33 (1981), 199-213). The solutions of Problem 5.2.5 of Deutsch, et al. and the of problem 5.B of Franchetti and Cheney (Boll. Un Mat. Ital. B(5) 18 (1981), 1003-1015) are also included.

Original language	English
Pages (from-to)	132-145
Number of pages	14
Journal	Journal of Approximation Theory
Volume	47
Issue number	2
DOIs	https://doi.org/10.1016/0021-9045(86)90038-9
Publication status	Published - Jun 1986
Externally published	Yes

ASJC Scopus subject areas

Analysis
Numerical Analysis
Mathematics(all)
Applied Mathematics

Access to Document

10.1016/0021-9045(86)90038-9

Cite this

@article{f91a21b9923c4a5299fa31686f7cf25e,

title = "On proximinality and sets of operators. I. Best approximation by finite rank operators",

abstract = "In this paper it is shown that Kn(X, C0, (Q)) is proximinal in L(X, C0(Q)) when X* is uniformly convex, thus solving Problem 5.2.3 of Deutsch, Mach and, Saatkamp (J. Approx. Theory 33 (1981), 199-213). The solutions of Problem 5.2.5 of Deutsch, et al. and the of problem 5.B of Franchetti and Cheney (Boll. Un Mat. Ital. B(5) 18 (1981), 1003-1015) are also included.",

author = "Aref Kamal",

year = "1986",

month = jun,

doi = "10.1016/0021-9045(86)90038-9",

language = "English",

volume = "47",

pages = "132--145",

journal = "Journal of Approximation Theory",

issn = "0021-9045",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On proximinality and sets of operators. I. Best approximation by finite rank operators

AU - Kamal, Aref

PY - 1986/6

Y1 - 1986/6

N2 - In this paper it is shown that Kn(X, C0, (Q)) is proximinal in L(X, C0(Q)) when X* is uniformly convex, thus solving Problem 5.2.3 of Deutsch, Mach and, Saatkamp (J. Approx. Theory 33 (1981), 199-213). The solutions of Problem 5.2.5 of Deutsch, et al. and the of problem 5.B of Franchetti and Cheney (Boll. Un Mat. Ital. B(5) 18 (1981), 1003-1015) are also included.

AB - In this paper it is shown that Kn(X, C0, (Q)) is proximinal in L(X, C0(Q)) when X* is uniformly convex, thus solving Problem 5.2.3 of Deutsch, Mach and, Saatkamp (J. Approx. Theory 33 (1981), 199-213). The solutions of Problem 5.2.5 of Deutsch, et al. and the of problem 5.B of Franchetti and Cheney (Boll. Un Mat. Ital. B(5) 18 (1981), 1003-1015) are also included.

UR - http://www.scopus.com/inward/record.url?scp=0042389088&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042389088&partnerID=8YFLogxK

U2 - 10.1016/0021-9045(86)90038-9

DO - 10.1016/0021-9045(86)90038-9

M3 - Article

AN - SCOPUS:0042389088

SN - 0021-9045

VL - 47

SP - 132

EP - 145

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 2

ER -

On proximinality and sets of operators. I. Best approximation by finite rank operators

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this