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Hilbert spaces: projection and Riesz representation v1.0.0
Use this resource to decompose a vector by orthogonal projection in a Hilbert space
New
- 498 downloads
- 250 likes
- 194 saves
Free
Install with the CLI
In a terminal, from the folder you want:
npx --yes palatekit@latest install hilbert-projection-rieszWith no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.
First time: connect the CLI with
npx --yes palatekit@latest loginThe agent follows the steps of orthogonal decomposition, the projection theorem and Riesz representation, then checks identities (including Parseval) with SymPy and Z3. You get a structured approach for an exercise or a proof.
Mostly picked by
Updated November 2, 2026
Previews
Details
- Install guides
- Generates with
- Your agent's model
- Licence
- MIT
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What you get
- SKILL.md: orthogonal decomposition, projection theorem and Riesz representation
- SKILL.md: SymPy (inner product, Parseval) and Z3 commands
Good fit for
- You need to compute the projection of a vector onto a closed subspace
- You are studying the representation of continuous linear functionals
Not for
Tags
- Hilbert spaces
- projection
- functional analysis
- Riesz
About
You say
“Compute the orthogonal projection of this vector onto the closed subspace spanned by these two vectors.”
Skill published by parcadei under the MIT license, delivered in its original version.
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How to use it
- Install the skill in your agent's skills folder
- Ask your agent to decompose a vector by orthogonal projection in a Hilbert space
- Review and adjust the result
Content preview
Files
- LICENSE1.1 KB
- NOTICE-PALATEKIT.md0.5 KB
- SKILL.md4 KB
Origin and licence
Listed unmodified
- Author
- parcadei
- Source
- github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/functional-analysis/hilbert-spaces
- Licence
- MIT
Notice
« hilbert-spaces » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.
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