论文标题
$（ABC，PQR）$ - Banach Space的近似Schauder框架的问题
The $(abc,pqr)$-problem for Approximate Schauder Frames for Banach Spaces
论文作者
论文摘要
由dai和sun [\ sun [\ textit {Amer of Amer of Amer of Amer of Amer obs Space的全面解决方案$ abc $ - gabor系统用于Hilbert Space $ \ Mathcal {l}^2（\ Mathbb {r}）$。数学。 Soc。，2016}]，以及从$ \ Mathcal {l}^p（\ Mathbb {r}）$的近似Schauder框架的存在结果，使用$ \ Mathcal {L}^p（\ Mathbb {r}）上的转换操作员在$ \ Mathcal {l}^p（\ Mathbb {r}）$上，由Freeman，odell，odell，odell，odell，odell，schlumumumumprecht andra { J. Math，2014}]，我们制定$（ABC，PQR）$ - Banach Space的近似Schauder框架的问题$ \ Mathcal {l}^p（\ Mathbb {r}）$，$ 1 <p <\ p <\ infty $。
Motivated from the complete solution of important $abc$-problem for Gabor system for the Hilbert space $\mathcal{L}^2(\mathbb{R})$ by Dai and Sun [\textit{Memoirs of Amer. Math. Soc., 2016}] and from the existential result of approximate Schauder frames for $\mathcal{L}^p(\mathbb{R})$ using translation operators on $\mathcal{L}^p(\mathbb{R})$ by Freeman, Odell, Schlumprecht, and Zsak [\textit{Israel. J. Math, 2014}], we formulate $(abc, pqr)$-problem for approximate Schauder frames for Banach spaces $\mathcal{L}^p(\mathbb{R})$, $1<p<\infty$.
