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Duality for frames in Krein spaces

Author

Listed:
  • Juan Ignacio Giribet
  • Alejandra Maestripieri
  • Francisco Martínez Pería

Abstract

A J†frame for a Krein space H is in particular a frame for H (in the Hilbert space sense). But it is also compatible with the indefinite inner†product of H, meaning that it determines a pair of maximal uniformly definite subspaces, an analogue to the maximal dual pair associated with an orthonormal basis in a Krein space. This work is devoted to study duality for J†frames in Krein spaces. Also, tight and Parseval J†frames are defined and characterized.

Suggested Citation

  • Juan Ignacio Giribet & Alejandra Maestripieri & Francisco Martínez Pería, 2018. "Duality for frames in Krein spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 291(5-6), pages 879-896, April.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:5-6:p:879-896
    DOI: 10.1002/mana.201700149
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