Frames and bases of subspaces in Hilbert spaces
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This paper is devoted to extending a number of well-known results in the general theory of frames in Hilbert space to what are called frames of subspaces, a notion introduced by Casazza and Kutyniok. A new definition of a so-called atomic resolution of the identity is given and the connection of this notion with the topic of frames of subspaces is developed in detail.
- Islamic Azad University Janah Iran (Islamic Republic of)
- Science and Research Branch,Islamic Azad University Iran (Islamic Republic of)
- Islamic Azad University Central Tehran Branch Iran (Islamic Republic of)
- Islamic Azad University, Tehran Iran (Islamic Republic of)
- Islamic Azad University, Science and Research Branch Iran (Islamic Republic of)
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Applied Mathematics, Associated basis, Atomic resolution of the identity, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Frame, Frame of subspaces, Basis, Analysis, Synthesis operator
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Applied Mathematics, Associated basis, Atomic resolution of the identity, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Frame, Frame of subspaces, Basis, Analysis, Synthesis operator
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