moratorium 发表于 2025-3-25 06:58:38
http://reply.papertrans.cn/19/1886/188521/188521_21.pngATRIA 发表于 2025-3-25 11:11:31
https://doi.org/10.1007/978-0-387-68915-9Banach Space; banach spaces; functional analysis自作多情 发表于 2025-3-25 12:18:35
http://reply.papertrans.cn/19/1886/188521/188521_23.png仔细阅读 发表于 2025-3-25 19:27:36
http://reply.papertrans.cn/19/1886/188521/188521_24.pngEngaged 发表于 2025-3-25 23:04:30
CMS Books in Mathematicshttp://image.papertrans.cn/b/image/188521.jpg欺骗世家 发表于 2025-3-26 04:08:50
https://doi.org/10.1007/978-3-658-13124-1ble setting, related to this structure. When searching for a system of coordinates to represent any vector of a (separable) Banach space, a natural approach is to consider the concept of a Schauder basis. Unfortunately, not every separable Banach space has such a basis, as was proved by Enflo in [En克制 发表于 2025-3-26 07:01:58
http://reply.papertrans.cn/19/1886/188521/188521_27.pngGrandstand 发表于 2025-3-26 09:10:42
https://doi.org/10.1007/978-3-658-13124-1es on some fundamental results concerning Mackey and weak topologies. For example, the first section presents some of Grothendieck’s basic results on the dual Mackey topology on dual Banach spaces. The second section includes work of Odell, Rosenthal, Emmanuele, Valdivia, and others on the sequentia不利 发表于 2025-3-26 16:26:36
Bank- und Kundenloyalität im Wandelon of long Schauder bases; the first section introduces this notion, which is a natural generalization of the usual Schauder basis. The first section also contains Plichko’s improvement of the natural “exhaustion” argument that yields the existence of a bounded total biorthogonal system in every Ban真实的你 发表于 2025-3-26 18:12:20
Exkurs: Die Erfolgsgeschichte von PING AN identity, the separable complementation property, and projectional generators. Renorming theory also plays an important role here, as spaces with an M-basis admit an equivalent rotund norm, while spaces with a strong M-basis even have an LUR renorming thanks to the fundamental result of Troyanski..