On embedding separable spaces [Formula: see text] in arbitrary spaces [Formula: see text] [0.03%]
论在任意空间[公式]中嵌入可分空间[公式]
Jakub Rondoš,Damian Sobota
Jakub Rondoš
Supplementing and expanding classical results, for compact spaces K and L, L metric, and their Banach spaces C ( L ) and C ( K ) of continuous real-valued functions, we provide several characterizations of the existence of isometric, resp...
Stephen Dilworth,Denka Kutzarova,Pavlos Motakis
Stephen Dilworth
A reflexive Banach space with an unconditional basis admits an equivalent 1-unconditional 2R norm and embeds into a reflexive space with a 1-symmetric 2R norm. Partial results on 1-symmetric 2R renormings of spaces with a symmetric basis ar...
Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting [0.03%]
矩阵加权设置下的核全局型超可微函数空间
Chiara Boiti,David Jornet,Alessandro Oliaro et al.
Chiara Boiti et al.
We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine also the corresponding coefficient spaces, thus extending th...