Angle $$R$$ R

Koo, Yoo Young; Lim, Jae Kun

doi:10.1007/s40840-014-0072-2

Bull. Malays. Math. Sci. Soc.

2014

DOI: 10.1007/s40840-014-0072-2

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Angle $$R$$ R

Yoo Young Koo

Jae Kun Lim

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2022

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Characterization, Dilation, and Perturbation of Basic Continuous Frames

Zhao

2022

Journal of Mathematics

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A vector-valued function is called a basic continuous frame if it is a continuous frame for its spanning space. It is shown in this article that basic continuous frames and their oblique duals can be characterized by operators with closed ranges. Furthermore, we show that any oblique dual pair of basic continuous frames for a Hilbert space can be dilated to a Type II dual pair for a larger Hilbert space. Finally, a perturbation result for basic continuous frames is given. Since the spanning spaces of two basic continuous frames for a Hilbert space are often different, the research process is more complex than the setting of general continuous frames.

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Characterization, Dilation, and Perturbation of Basic Continuous Frames

Zhao

2022

Journal of Mathematics

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Angle $$R$$ R

Cited by 1 publication

References 16 publications

Characterization, Dilation, and Perturbation of Basic Continuous Frames

Characterization, Dilation, and Perturbation of Basic Continuous Frames

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