Regularization for Banach spaces

Regularization for Banach spaces
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Banach 空间的正则化

DOI:
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发表时间:
2013
期刊:
影响因子:
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通讯作者:
N. Kruglyak
N. Kruglyak
中科院分区:
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文献类型:
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作者:
S. Kislyakov;N. Kruglyak

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在这里,我们想讨论与插值无关的领域,但是在其中,l p的近距离拟合也以自然的方式出现了Q功能。一部分是由下面描述的Tikhonov调节方法播放的。
Here we want to discuss a field irrelevant to interpolation, but in which a nearminimizer for an L p,q -functional also arises in a natural way. In the theory of ill-posed problems (see, e.g., [Ki]), important part is played by the Tikhonov regularization method described below. Suppose A : X → Y is an injective and bounded but, in general, not boundedly invertible linear operator from a Hilbert space X to a Hilbert space Y.