论文标题
通过块求和多线运算符：各向同性和各向异性情况
Summing multilinear operators by blocks: the isotropic and anisotropic cases
论文作者
论文摘要
我们统一了研究研究的发展的几个方向，将多线性操作员之间的多线性操作员之间的发展统一，我们构建了一个一般框架，在一个单个定义下，研究多线性运算符，这些操作员与在任何数量的索引，迭代和非辅助总和上所取的总和相结合（同型和异端案例）（等等案例），超过仲裁的序列。在特定情况下恢复了大量的多线性操作员的特殊类别和生成多线性操作员类别的方法。证明了通用类别的理想属性和巧合定理。
Unifying several directions of the development of the study of summing multilinear operators between Banach spaces, we construct a general framework that studies, under one single definition, multilinear operators that are summing with respect to sums taken over any number of indices, iterated and non-iterated sums (the isotropic and the anisotropic cases), sums over arbitrary blocks and over several different sequence norms. A large number of special classes of multilinear operators and of methods of generating classes of multilinear operators are recovered as particular instances. Ideal properties and coincidence theorems for the general classes are proved.
