http://hdl.handle.net/11320/21071 2026-09-21T16:15:38Z http://hdl.handle.net/11320/21074 Tytuł: Fatou’s Lemma and the Lebesgue’s Convergence Theorem Autorzy: Endou, Noboru; Narita, Keiko; Shidama, Yasunari Abstrakt: In this article we prove the Fatou’s Lemma and Lebesgue’s Convergence Theorem [10]. 2008-01-01T00:00:00Z http://hdl.handle.net/11320/21073 Tytuł: Jordan Matrix Decomposition Autorzy: Pąk, Karol Abstrakt: In this paper I present the Jordan Matrix Decomposition Theorem which states that an arbitrary square matrix M over an algebraically closed field can be decomposed into the form M=SJS−1 where S is an invertible matrix and J is a matrix in a Jordan canonical form, i.e. a special type of block diagonal matrix in which each block consists of Jordan blocks (see [13]). 2008-01-01T00:00:00Z http://hdl.handle.net/11320/21072 Tytuł: Eigenvalues of a Linear Transformation Autorzy: Pąk, Karol Abstrakt: The article presents well known facts about eigenvalues of linear transformation of a vector space (see [13]). I formalize main dependencies between eigenvalues and the diagram of the matrix of a linear transformation over a finite-dimensional vector space. 2008-01-01T00:00:00Z