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^*

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

8 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	English
الصفحات (من إلى)	132-145
عدد الصفحات	14
دورية	Journal of Approximation Theory
مستوى الصوت	47
رقم الإصدار	2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/0021-9045(86)90038-9
حالة النشر	Published - يونيو 1986
منشور خارجيًا	نعم

ASJC Scopus subject areas

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10.1016/0021-9045(86)90038-9

الملفات والروابط الأخرى

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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",

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

language = "English",

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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.

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JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

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ER -

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

ملخص

ASJC Scopus subject areas

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