Fusion frames and g-frames in tensor product and direct sum of Hilbert spaces | Zendy

Amir Khosravi | Zendy; Azandaryani Mirzaee | Zendy

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Fusion frames and g-frames in tensor product and direct sum of Hilbert spaces

Author(s) -

Amir Khosravi,

Azandaryani Mirzaee

Publication year - 2012

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm120619014k

Subject(s) - mathematics , tensor product of hilbert spaces , tensor product , dual polyhedron , hilbert space , tensor (intrinsic definition) , pure mathematics , basis (linear algebra) , fusion , tensor product of algebras , riesz representation theorem , product (mathematics) , frame (networking) , tensor contraction , geometry , computer science , linguistics , telecommunications , philosophy

In this paper we study fusion frames and g-frames for the tensor products and direct sums of Hilbert spaces. We show that the tensor product of a finite number of g-frames (resp. fusion frames, g-Riesz bases) is a g-frame (resp. fusion frame, g-Riesz basis) for the tensor product space and vice versa. Moreover we obtain some important results in tensor products and direct sums of g-frames, fusion frames, resolutions of the identity and duals

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