On proximinality and sets of operators. II. Nonexistence of best approximation from the sets of finite rank operators

Aref Kamal

doi:10.1016/0021-9045(86)90039-0

On proximinality and sets of operators. II. Nonexistence of best approximation from the sets of finite rank operators

Aref Kamal^*

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

3 اقتباسات (Scopus)

ملخص

The most important result in this paper is that the set K_n(l₁, c₀) is not proximinal in L(l₁, c₀). This gives a negative solution to Problem 5.2.1 and a positive solution to Problem 5.2.4 of Deutsch, Mach, and Saatkamp (J. Approx. Theory 33 (1981), 199-213).

اللغة الأصلية	English
الصفحات (من إلى)	146-155
عدد الصفحات	10
دورية	Journal of Approximation Theory
مستوى الصوت	47
رقم الإصدار	2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/0021-9045(86)90039-0
حالة النشر	Published - يونيو 1986
منشور خارجيًا	نعم

ASJC Scopus subject areas

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الوصول إلى المستند

10.1016/0021-9045(86)90039-0

الملفات والروابط الأخرى

قم بذكر هذا

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abstract = "The most important result in this paper is that the set Kn(l1, c0) is not proximinal in L(l1, c0). This gives a negative solution to Problem 5.2.1 and a positive solution to Problem 5.2.4 of Deutsch, Mach, and Saatkamp (J. Approx. Theory 33 (1981), 199-213).",

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AU - Kamal, Aref

PY - 1986/6

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AB - The most important result in this paper is that the set Kn(l1, c0) is not proximinal in L(l1, c0). This gives a negative solution to Problem 5.2.1 and a positive solution to Problem 5.2.4 of Deutsch, Mach, and Saatkamp (J. Approx. Theory 33 (1981), 199-213).

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U2 - 10.1016/0021-9045(86)90039-0

DO - 10.1016/0021-9045(86)90039-0

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On proximinality and sets of operators. II. Nonexistence of best approximation from the sets of finite rank operators

ملخص

ASJC Scopus subject areas

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الملفات والروابط الأخرى

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