Paper Title:

Operators On Frames

Author(s):

Javad Baradaran and Zahra Ghorbani

Department of Mathematics,
Jahrom University, P.B. 7413188941,
Jahrom,
Iran.
E-mail: baradaran@jahromu.ac.ir

Department of Mathematics,
Jahrom University, P.B. 7413188941,
Jahrom,
Iran.
E-mail: 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 1-tight frame for H.

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