On a family of frames for Krein spaces
作者： A. Maestripieri , P. Massey , J. I. Giribet
DOI:
关键词: Hilbert space 、 Frame (artificial intelligence) 、 Linear subspace 、 Dual pair 、 Mathematical analysis 、 Space (mathematics) 、 Product (mathematics) 、 Basis (linear algebra) 、 Mathematics 、 Pure mathematics
摘要: A definition of frames for Krein spaces is proposed, which extends the notion J-orthonormal basis spaces. J-frame a space (H,[ , ]) in particular frame H Hilbert sense. But it also compatible with indefinite inner product [ ], meaning that determines pair maximal uniformly J-definite subspaces different positivity, an analogue to dual associated basis. Also, each induces reconstruction formula vectors H, resembles one given by
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