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20082026
most citedFramelet Representation of Tensor Nuclear Norm for Third-Order Tensor Completion

185 citations

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7 papers · 1 filter

math.FA2020★ 1 cited

Convergence structures and Hausdorff uo-Lebesgue topologies on vector lattice algebras of operators

Yang Deng, Marcel de Jeu

A vector sublattice of the order bounded operators on a Dedekind complete vector lattice can be supplied with the convergence structures of order convergence, strong order converge…

math.FA2020★ 3 cited

Convergence structures and locally solid topologies on vector lattices of operators

Yang Deng, Marcel de Jeu

For vector lattices and , where is Dedekind complete and supplied with a locally solid topology, we introduce the corresponding locally solid absolute strong operator to…

math.FA2020★ 3 cited

Vector lattices with a Hausdorff uo-Lebesgue topology

Yang Deng, Marcel de Jeu

We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of t…

math.FA2015★ 12 cited

The Weighted Arithmetic Mean-Geometric Mean Inequality is Equivalent to the Hölder Inequality

Yongtao Li, Xian-Ming Gu, Jianxing Zhao

In the current note, we investigate the mathematical relations among the weighted arithmetic mean-geometric mean (AM-GM) inequality, the Hölder inequality and the weighted power-me…

math.FA2014

Some Applications of Generalized Mountain Pass Lemma

Fengying Li, Bingyu Li, Shiqing Zhang

The Ghoussoub-Preiss's generalized Mountain Pass Lemma with Cerami-Palais-Smale type condition is a generalization of classical MPL of Ambrosetti-Rabinowitz, we apply it to study t…

math.FA2013★ 1 cited

Beurling's Theorem And Invariant Subspaces For The Shift On Hardy Spaces

Zhijian Qiu

Let be a bounded open subset in the complex plane and let denote the Hardy space on . We call a bounded simply connected domain perfectly connected if the bou…

math.FA2013

The Structure of the Closure of the Rational Functions in ()$

Zhijian Qiu

Let be a compact subset in the complex plane and let be the uniform closure of the functions continuous on and analytic on . Let be a positive finite…