Formalization of Orthogonal Decomposition for Hilbert Spaces

[1] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17. Abierto DOISearch in Google Scholar

[2] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.604425130069070 Abierto DOISearch in Google Scholar

[3] Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Subspaces and cosets of subspace of real unitary space. Formalized Mathematics, 11(1):1–7, 2003. Search in Google Scholar

[4] Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Topology of real unitary space. Formalized Mathematics, 11(1):33–38, 2003. Search in Google Scholar

[5] David G. Luenberger. Optimization by Vector Space Methods. John Wiley and Sons, 1969. Search in Google Scholar

[6] Kôsaku Yosida. Functional Analysis. Springer, 1980. Search in Google Scholar

• Prime Representing Polynomial with 10 Unknowns
• Prime Representing Polynomial with 10 Unknowns – Introduction. Part II
• Formalization of Orthogonal Decomposition for Hilbert Spaces
• Existence and Uniqueness of Algebraic Closures