From 7ce835cef27bd2ee001f08b2386d5ff5ddcfa141 Mon Sep 17 00:00:00 2001 From: Bokuan Li Date: Thu, 4 Jun 2026 16:45:03 -0400 Subject: [PATCH] Added sneaky interpolation functor jokes. --- refs.bib | 21 +++++++++++++++++++++ src/fa/interpolation/functors.tex | 10 ++++++++++ src/fa/interpolation/index.tex | 6 ++++++ 3 files changed, 37 insertions(+) create mode 100644 src/fa/interpolation/functors.tex create mode 100644 src/fa/interpolation/index.tex diff --git a/refs.bib b/refs.bib index 1ed6041..1aea105 100644 --- a/refs.bib +++ b/refs.bib @@ -151,3 +151,24 @@ year={2001}, publisher={Springer Berlin Heidelberg} } + + + +@techreport{aronszajn1964interpolation, + title={Interpolation spaces and interpolation methods}, + author={Aronszajn, Nachman and Gagliardo, Emilio}, + year={1964} +} +@book{brudnyi1991interpolation, + title={Interpolation functors and interpolation spaces}, + author={Brudnyi, Yu A and Krugljak, N Ya}, + volume={47}, + year={1991}, + publisher={Elsevier} +} +@book{PietschHistory, + title={History of Banach spaces and linear operators}, + author={Pietsch, Albrecht}, + year={2007}, + publisher={Springer} +} \ No newline at end of file diff --git a/src/fa/interpolation/functors.tex b/src/fa/interpolation/functors.tex new file mode 100644 index 0000000..459335a --- /dev/null +++ b/src/fa/interpolation/functors.tex @@ -0,0 +1,10 @@ +\section{Interpolation Functors} +\label{section:interpolation-functors} + +\textit{"In the presence of so many different interpolation methods it seemed timely to study the general structure of all possible methods: to determine all of them and to analyze the properties which are common to all."} — \cite[Page 51]{aronszajn1964interpolation}. + +\textit{"This is how things appeared in 1965. Fifteen years later, it was found that the number +of interpolation methods at our disposal is not large."} — \cite[Page vi, Footnote 3]{brudnyi1991interpolation}. + +The above quotes are taken from \cite[Page 427]{PietschHistory}. + diff --git a/src/fa/interpolation/index.tex b/src/fa/interpolation/index.tex new file mode 100644 index 0000000..11fc25d --- /dev/null +++ b/src/fa/interpolation/index.tex @@ -0,0 +1,6 @@ +\chapter{Interpolation Spaces} +\label{chap:interpolation} + +\input{./functors.tex} + +