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On Hilbert extensions of Weierstrass' theorem with weights
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نویسنده
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quintana y.
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منبع
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journal of function spaces - 2010 - دوره : 8 - شماره : 2 - صفحه:201 -213
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چکیده
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In this paper we study the set of script g sign-valued functions which can be approximated by script g sign-valued continuous functions in the norm l ∞script g sign (i,w),where i ⊂ ℝ is a compact interval,script g sign is a separable real hilbert space and w is a certain script g sign-valued weakly measurable weight. thus,we obtain a new extension of the celebrated weierstrass approximation theorem. copyright © 2010 hindawi publishing corporation.
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کلیدواژه
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script G sign-valued continuous functions; script G sign-valued polynomials; script G sign-valued weights; Weierstrass' theorem
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آدرس
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departamento de matemáticas puras y aplicadas,edificio matemáticas y sistemas (mys),universidad simón bolívar,apartado postal: 89000,caracas 1080 a, Venezuela
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Authors
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