The hitchhiker guide to Categorical Banach space theory. Part II

2021/10/12 by Castillo, Jesús M. F. · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2110.06300

Abstract

What has category theory to offer to Banach spacers? In this second part survey-like paper we will focus on very much needed advanced categorical and homological elements, such as Kan extensions, derived category and derived functor or Abelian hearts of Banach spaces.

Cited by

• Projective limits in Euclidean quantum field theory, I: Free scalar fields

Related

• A *-Autonomous Category of Banach Spaces--Correction
• Homotopy type theory: the logic of space
• Classification of Banach Spaces --its Topological and Cardinality Properties
• Injective Spaces via Adjunction
• On the category of quotient Banach spaces after Wegner