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- W2896972417 abstract "In this paper we study the set of ℊ-valued functions which can be approximated by ℊ-valued continuous functions in the norm<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msubsup><mml:mi>L</mml:mi><mml:mi>ℊ</mml:mi><mml:mi>∞</mml:mi></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>w</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>, where<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>I</mml:mi><mml:mo>⊂</mml:mo><mml:mi>ℝ</mml:mi></mml:mrow></mml:math>is a compact interval, ℊ is a separable real Hilbert space and w is a certain ℊ-valued weakly measurable weight. Thus, we obtain a new extension of the celebrated Weierstrass approximation theorem." @default.
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- W2896972417 date "2010-01-01" @default.
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- W2896972417 title "On Hilbert extensions of Weierstrass' theorem with weights" @default.
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- W2896972417 doi "https://doi.org/10.1155/2010/645369" @default.
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