A note on the jordan decomposition
نویسندگان
چکیده
منابع مشابه
A Note on the Jordan Canonical Form
A proof of the Jordan canonical form, suitable for a first course in linear algebra, is given. The proof includes the uniqueness of the number and sizes of the Jordan blocks. The value of the customary procedure for finding the block generators is also questioned. 2000 MSC: 15A21. The Jordan form of linear transformations is an exceeding useful result in all theoretical considerations regarding...
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We establish a strengthening of Jordan separation, to the setting of maps f : X → S, where X is not necessarily a manifold, and f is not necessarily injective.
متن کاملJordan Matrix Decomposition
We follow the rules: i, j, m, n, k denote natural numbers, K denotes a field, and a, λ denote elements of K. Let us consider K, λ, n. The Jordan block of λ and n yields a matrix over K and is defined by the conditions (Def. 1). (Def. 1)(i) len (the Jordan block of λ and n) = n, (ii) width (the Jordan block of λ and n) = n, and (iii) for all i, j such that 〈i, j〉 ∈ the indices of the Jordan bloc...
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In the paper we consider two positive contractions T, S : L(A, τ ) −→ L(A, τ ) such that T ≤ S, here (A, τ ) is a semi-finite JBW -algebra. If there is an n0 ∈ N such that ‖S n0 − T0‖ < 1. Then we prove that ‖S − T‖ < 1 holds for every n ≥ n0.
متن کاملA Note on Jordan Left ∗-Centralizers in Rings with Involution
Let R be a ring with involution. An additive mapping T : R → R is called a left ∗-centralizer (resp. Jordan left ∗-centralizer) if T (xy) = T (x)y∗ (resp. T (x2) = T (x)x∗) holds for all x, y ∈ R, and a reverse left ∗-centralizer if T (xy) = T (y)x∗ holds for all x, y ∈ R. The purpose of this paper is to solve some functional equations involving Jordan left ∗-centralizers on some appropriate su...
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 2011
ISSN: 0716-0917
DOI: 10.4067/s0716-09172011000100011