hilbert-spaces
CommunitySolve Hilbert space problems
Education & Research#mathematics#functional analysis#linear algebra#orthogonality#hilbert spaces#projection theorem
Authorparcadei
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This Skill provides strategies and tools for solving problems related to Hilbert spaces in functional analysis, simplifying complex mathematical operations.
Core Features & Use Cases
- Orthogonal Decomposition: Decompose Hilbert spaces into direct sums of subspaces.
- Projection Theorem Application: Solve for unique nearest points in closed convex sets.
- Riesz Representation: Apply the Riesz Representation Theorem for linear functionals.
- Parseval's Identity: Utilize Parseval's identity for orthonormal bases.
- Use Case: When faced with a functional analysis problem involving infinite-dimensional vector spaces and inner products, this skill offers direct computational and proof-generating tools.
Quick Start
Use the hilbert-spaces skill to compute the orthogonal decomposition of a Hilbert space.
Dependency Matrix
Required Modules
sympyz3
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: hilbert-spaces Download link: https://github.com/parcadei/Continuous-Claude-v3/archive/main.zip#hilbert-spaces Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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