Banach spaces provide a fundamental framework for analysing problems in functional analysis, encapsulating the notion of complete normed vector spaces. Metric geometry, by contrast, concerns itself ...

In this paper it is shown that every idempotent, self-adjoint linear endomorphism in a finite-dimensional normed Boolean vector space has its norm as an eigenvalue. A completely algebraic proof is ...

Arithmetic geometry explores deep connections between number theory and geometry by investigating solutions to polynomial equations over various fields. The subject has expanded to include the study ...