Klaas Landsman Foundations of Quantum Theory: From Classical Concepts to Operator Algebras Springer, 2017; DOI 10.1007/978-3-319-51777-3 Copyright The Author(s) 2017. The book is licensed under Creative Commons Attribution 4.0 International. Licence and terms: https://creativecommons.org/licenses/by/4.0/ Source: https://doi.org/10.1007/978-3-319-51777-3 Grant locator: book copyright page (PDF page 5). The course subsection "States and mixtures on a matrix block" in extreme-points-and-matrix-blocks.md adapts Theorem 2.7, Lemma 2.11, Proposition 2.14 and the nonunique-mixture example, printed pages 44–48. This entire subsection, including proofs and example, retains CC BY 4.0. AI adaptation: GPT-6.1 Sol (OpenAI), Ultra, October 2026. Changes: matrix notation; expanded positivity and support arguments; placement after the matrix-block construction. The finite-dimensional hypothesis is retained. No source-book images are reproduced. The original expression elsewhere in the lesson retains CC0 1.0.