Banach space theory is a central branch of modern functional analysis concerned with the properties of complete normed vector spaces. This area of mathematics encompasses the study of geometric ...

巴拿赫空间（Banach space）理论起源于一位波兰数学家斯特凡·巴拿赫（Stefan Banach）的早期研究工作。在他的博士论文中，巴拿赫首次完整地定义了这一类空间，并由此开启了一个全新的数学领域，称为泛函分析（functional analysis）。 说巴拿赫的职业道路 ...

Banach spaces have long served as a foundational framework for modern functional analysis, providing a setting in which convergence, continuity and linearity can be examined with rigour. In recent ...

In this paper, we derive a trace formula for self adjoint fourth order differential operator with bounded operator coefficient in the separable Banach space. Compared with the regularized trace ...