banach-spaces
CommunitySolve functional analysis problems.
Education & Research#mathematics#functional analysis#proofs#z3 solver#banach spaces#hahn-banach theorem
Authorparcadei
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This Skill provides strategies and tools for solving problems related to Banach spaces in functional analysis, streamlining complex mathematical proofs and computations.
Core Features & Use Cases
- Problem Solving: Offers decision trees for verifying Banach spaces, applying the Hahn-Banach Theorem, Open Mapping Theorem, Closed Graph Theorem, and Uniform Boundedness Principle.
- Automated Proof Assistance: Integrates with Z3 solver for proving mathematical properties.
- Use Case: When faced with a problem requiring the extension of a linear functional, this skill guides you through the application of the Hahn-Banach Theorem and provides the necessary commands to verify the conditions.
Quick Start
Use the banach-spaces skill to prove that a surjective bounded operator between Banach spaces is open.
Dependency Matrix
Required Modules
z3-solversympy
Components
scriptsreferences
💻 Claude Code Installation
Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.
Please help me install this Skill: Name: banach-spaces Download link: https://github.com/parcadei/Continuous-Claude-v3/archive/main.zip#banach-spaces Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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