Operator Representations of Frames: Boundedness, Duality, and Stability
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DOI: 10.1007/s00020-017-2370-1
Abstract: The purpose of the paper is to analyze frames $$\{f_k\}_{k\in \mathbb Z}$${fk}k∈Z having the form $$\{T^kf_0\}_{k\in \mathbb Z}$${Tkf0}k∈Z for some linear operator $$T: \text{ span } \{f_k\}_{k\in \mathbb Z}\rightarrow \text{ span }\{f_k\}_{k\in \mathbb Z}$$T:span{fk}k∈Z→span{fk}k∈Z. A… read more here.
Keywords: representations frames; mathbb tkf0; mathbb; operator representations ... See more keywords
Properties of bounded representations for G-frames
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DOI: 10.1007/s11868-022-00440-3
Abstract: The purpose of the paper is to analyze g -frames of the form $$\{\varphi T^{i} \in B(\mathcal {H},\mathcal {K})\}_{i=0}^\infty $$ { φ T i ∈ B ( H , K ) } i = 0… read more here.
Keywords: representations frames; varphi mathcal; mathcal infty; bounded representations ... See more keywords