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Mathematics. Articles in English (et en français dans le futur).

The Big Three Pt. 4 - The Open Mapping Theorem (F-Space)

2020-09-12 Analysis Functional Analysis
# The big three
The Big Three Pt. 4 - The Open Mapping Theorem (F-Space)

The completeness of the quotient space (topological vector space)

2020-09-03 Analysis Functional Analysis Topological Vector Space
# Walter Rudin# Functional Analysis# Study new content
The completeness of the quotient space (topological vector space)

Basic Facts of Semicontinuous Functions

2020-08-18 Analysis Elementary Continuity
# Exercise solution# Real and Complex Analysis# Walter Rudin
Basic Facts of Semicontinuous Functions

An Introduction to Quotient Space

2020-08-16 Analysis Functional Analysis Topological Vector Space
# Exercise solution# Walter Rudin# Functional Analysis# Study new content
An Introduction to Quotient Space

The Big Three Pt. 3 - The Open Mapping Theorem (Banach Space)

2020-08-12 Analysis Functional Analysis
# The big three
The Big Three Pt. 3 - The Open Mapping Theorem (Banach Space)

A Brief Introduction to Fréchet Derivative

In this post we give a brief introduction too Fréchet derivatives, a generalisation of derivatives in Banach spaces, and deduce *elementary* properties.
2020-07-31 Analysis Functional Analysis Topological Vector Space
# Fréchet
A Brief Introduction to Fréchet Derivative

The Big Three Pt. 2 - The Banach-Steinhaus Theorem

2020-06-30 Analysis Functional Analysis
# The big three
The Big Three Pt. 2 - The Banach-Steinhaus Theorem

The Big Three Pt. 1 - Baire Category Theorem Explained

2020-06-06 Analysis Functional Analysis
# The big three# Axiom of Choice
The Big Three Pt. 1 - Baire Category Theorem Explained

More properties of zeros of an entire function

2020-05-20 Analysis Complex Analysis
# Real and Complex Analysis# Walter Rudin
More properties of zeros of an entire function

The Lebesgue-Radon-Nikodym theorem and how von Neumann proved it

2020-03-29 Analysis Integration Theory Measure Theory
# Real and Complex Analysis# Walter Rudin# von Neumann# Lebesgue# Radon-Nikodym
The Lebesgue-Radon-Nikodym theorem and how von Neumann proved it
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