# On Reproducing Kernel Banach Spaces: Generic Definitions and Unified Framework of Constructions

4 Jan 2019Rongrong LinHaizhang ZhangJun Zhang

Recently, there has been emerging interest in constructing reproducing kernel Banach spaces (RKBS) for applied and theoretical purposes such as machine learning, sampling reconstruction, sparse approximation and functional analysis. Existing constructions include the reflexive RKBS via a bilinear form, the semi-inner-product RKBS, the RKBS with $\ell^1$ norm, the $p$-norm RKBS via generalized Mercer kernels, etc... (read more)

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