Product properties of kernels in reproducing kernel Banach spaces
In order to solve the problems of minimum norm interpolation,regularized networks,support vector ma-chines,and kernel principal component analysis in machine learning,reproducing kernel Hilbert space is no longer sufficient.Zhang et al.introduced the reproducing kernel Banach space.Using the method of tensor product and semi-inner product,it is proved that the tensor product of two semi-inner-product reproducing kernel Banach space is also the semi-inner-product repro-ducing kernel Banach space induced by the product of the corresponding reproducing kernels.
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