Abstract of a paper by Jose L. Ansorena
This is an announcement for the paper “Primarity of direct sums of Orlicz spaces and Marcinkiewicz spaces” by Jose L. Ansorena<https://arxiv.org/search/math?searchtype=author&query=Ansorena%2C+J+L>. Abstract: Let $\mathbb{Y}$ be either an Orlicz sequence space or a Marcinkiewicz sequence space. We take advantage of the recent advances in the theory of factorization of the identity carried on in [R. Lechner, Subsymmetric weak* Schauder bases and factorization of the identity, arXiv:1804.01372<https://arxiv.org/abs/1804.01372> [math.FA]] to provide conditions on $\mathbb{Y}$ that ensure that, for any $1\le p\le\infty$, the infinite direct sum of $\mathbb{Y}$ in the sense of $\ell_p$ is a primary Banach space, enlarging this way the list of Banach spaces that are known to be primary. https://arxiv.org/abs/1809.05749
participants (1)
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Bentuo Zheng (bzheng)