Compact embeddings and Pitt's property for weighted sequence spaces of Sobolev type

Autor:	Vuillermot, Pierre-A.
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis primary 46B50 secondary 46E35 47B37
Druh dokumentu:	Working Paper
Popis:	In this article we introduce a new class of weighted sequence spaces of Sobolev type and prove several compact embedding theorems for them. In all cases our proofs are based on the existence of a Schauder basis that spans all of the spaces under consideration. Our choice of spaces is primarily motivated by earlier work on infinite-dimensional dynamical systems of hyperbolic type arising in non-equilibrium statistical mechanics. We also prove a theorem of Pitt's type asserting that under some conditions every linear bounded transformation from one weighted sequence space into another is compact. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.17035 Zobrazit plný text záznamu View this record from Arxiv