2-nd International Conference OFEA'2001 "Optimization of Finite Element Approximation and Splines and Wavelets", June 25-29, 2001, St.-Petersburg

Relation between generalized frames

M. A. Dehghan^a, M. Radjabalipour<sup>b

a</sup> Department of Mathematics, Vali-e-asr University of Rafsanjan
^b Department of Mathematics, Shahid Bahonar University of Kerman

Abstract: The paper studies generalized frames $h=\{h_m\}_{m\in M}$ defined in a Hilbert space $H$ and indexed by general measure space $(M,S,\mu)$. The paper studies he behaviour of such frames under the transformation of H into itself by bounded linear transformations. It also studies the redundancy of generalized frames.

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