论文标题

关于Banach空间之间的一组无界多线操作员的大小

On the size of the set of unbounded multilinear operators between Banach spaces

论文作者

Favaro, V. V., Pellegrino, D., Rueda, P.

论文摘要

除其他结果外,我们调查了$ \ less(α,β\右)$限性的$限性,该集合在规范空间之间定义的非连续$ m $线性运算符是所有$ m $ linear oberators的一个子集。我们还为关于非绝对求和操作员集合的线索性提供了部分答案。

Among other results we investigate $\left( α,β\right) $-lineability of the set of non-continuous $m$-linear operators defined between normed spaces as a subset of the space of all $m$-linear operators. We also give a partial answer to an open problem on the lineability of the set of non absolutely summing operators.

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