Norm estimates for matrix operators between Banach spaces

作者：Mastylo Mieczyslaw^*; Mleczko Pawel

来源：Linear Algebra and Its Applications, 2013, 438(3): 986-1001.

DOI：10.1016/j.laa.2012.09.002

• Hardy spaces
• Rearrangement invariant spaces
• Banach sequence lattices

We study norm estimates of matrix operators between Banach spaces. In particular, we prove a general variant of the Hardy-Littlewood result on lower estimate for norms of operators between l(p)-spaces and show applications to Calderon-Lozanovskii sequence lattices. We also provide estimates for norms of radially generated operators from abstract Hardy spaces to Banach sequence lattices. Likewise we prove the mean convergence theorem in abstract Hardy spaces and show general examples of radially generated operators.

• 出版日期2013-2-1