


Paper Title:
Operators On Frames
Author(s):
Javad Baradaran and Zahra Ghorbani
Department of Mathematics,
Jahrom University, P.B. 7413188941,
Jahrom,
Iran.
Email:
baradaran@jahromu.ac.ir
Department of Mathematics,
Jahrom University, P.B. 7413188941,
Jahrom,
Iran.
Email: ghorbani@jahromu.ac.ir
Abstract:
In this paper, we first show the conditions under which an operator on a Hilbert space H can be represented as sum of two unitary operators. Then, it is concluded that a Riesz basis for a Hilbert space H can be written as a sum of two orthonormal bases. Finally, the study proves that if A is a normal maximal partial isometry on a Hilbert space H and if {e_{k}}^{∞}_{k=1} is an orthonormal basis for H, then {Ae_{k}}^{∞}_{k=1} is a 1tight frame for H.
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