Some Results on g-Frame Operator in Hilbert Space

نویسندگان

  • G. Upender Reddy
  • Gopal Reddy
  • A. Rahimi
  • M. H. Faroughi
چکیده

The g-frame operator for g-frame in Hilbert space is introduced. The results of g-frame operator are presented. A sequence of operators Λ̄j∈J(where Λ̄ = ΛSg −1 ) is a g-frame for the Hilbert space H with frame bounds 1 B and 1 A . Frame identities for g-normalized tight frames are established. Results on direct sum of gframe operators on direct sum of Hilbert spaces are presented. Mathematics Subject Classification: 42C15, 41A58

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تاریخ انتشار 2010