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arXiv · 2402.07699

On scalable $K$-frames and a version of Lax-Milgram theorem

F. Javadi·M. J. Mehdipour
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Abstract

In this paper, we first prove a theorem by a little modification on the Lax-Milgram theorem. Then, using $K$-frames, we obtain lower and upper bounds for the results obtained from this theorem. Also, we present some methods for the characterization of scalable $K$-frames. Finally, we introduce piecewise scalable $K$-frames and give necessary and sufficient conditions for a $K$-frame to be piecewise scalable.

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F. Javadi, M. J. Mehdipour. 2024-02-12. On scalable $K$-frames and a version of Lax-Milgram theorem. https://arxiv.org/abs/2402.07699

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