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Bounded operators: adjoint and spectrum v1.0.0
Use this resource to study a bounded operator, its adjoint and its spectrum
New
- 517 downloads
- 220 likes
- 107 saves
Free
Install with the CLI
In a terminal, from the folder you want:
npx --yes palatekit@latest install bounded-operator-spectrumWith 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 checks boundedness and computes the operator norm, then determines the adjoint, the spectrum and compactness properties. It uses SymPy and Z3 to verify identities. You get a step-by-step analysis.
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: decision tree on boundedness, adjoint, spectral theory and compactness
- SKILL.md: Z3 and SymPy commands to verify identities
Good fit for
- You need to show that a linear operator is bounded and compute its norm
- You are studying the spectrum of a self-adjoint operator
Not for
Tags
- bounded operators
- spectrum
- adjoint
- functional analysis
About
You say
“Compute the adjoint of this matrix and tell me whether the operator is self-adjoint.”
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 study a bounded operator, its adjoint and its spectrum
- Review and adjust the result
Content preview
Files
- LICENSE1.1 KB
- NOTICE-PALATEKIT.md0.5 KB
- SKILL.md3.5 KB
Origin and licence
Listed unmodified
- Author
- parcadei
- Source
- github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/functional-analysis/operator-theory
- Licence
- MIT
Notice
« operator-theory » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.
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