Invertible sequences of bounded linear operators |
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| Authors: | Zang Lili Sun Wenchang |
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| Institution: | Department of Mathematics and LPMC, Nankai University, Tianjin 300071, China |
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| Abstract: | In this paper, we study the invertibility of sequences consisting of finitely many bounded linear operators from a Hilbert space to others. We show that a sequence of operators is left invertible if and only if it is a g-frame. Therefore, our result connects the invertibility of operator sequences with frame theory. |
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| Keywords: | frames g-frames Riesz bases g-Riesz bases |
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