Émergence du concept de rang dans l'étude des systèmes d'équations linéaires
Endlichdimensionale graduierte Algebren und ihre Darstellungen
Endomorphism rings of valued vector spaces
Entanglement of Grassmannian coherent states for multi-partite -level systems.
Entropy for a pair of subalgebras via automorphisms.
Enumerating non-equivalent matrices over principal ideal domains
Enumeration of Lattice paths and generating functions for skew plane partitions.
Envelopes of holomorphy for solutions of the Laplace and Dirac equations
Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in are studied. First, geometric description of envelopes of holomorphy over domains in is given. In more general case, solutions can be continued by integral formulas using values on a real dimensional cycle in . Sufficient conditions for this being possible are formulated.
Equalities for orthogonal projectors and their operations
A complex square matrix A is called an orthogonal projector if A 2 = A = A*, where A* denotes the conjugate transpose of A. In this paper, we give a comprehensive investigation to matrix expressions consisting of orthogonal projectors and their properties through ranks of matrices. We first collect some well-known rank formulas for orthogonal projectors and their operations, and then establish various new rank formulas for matrix expressions composed by orthogonal projectors. As applications, we...
Equality in Wielandt’s eigenvalue inequality
In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.
Equations aux différences finies et déterminants d'intégrales de fonctions multiformes.
Equations fonctionnelles et estimations de normes de matrices.
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
We present a survey of results on word equations in simple groups, as well as their analogues and generalizations, which were obtained over the past decade using various methods: group-theoretic and coming from algebraic and arithmetic geometry, number theory, dynamical systems and computer algebra. Our focus is on interrelations of these machineries which led to numerous spectacular achievements, including solutions of several long-standing problems.
Equivalence and congruence of matrices under the action of standard parabolic subgroups.
Equivalence of -irreducibility concepts
Equivalence of von Neumann regular and idempotent matrices
Errata to the paper: Craig M. Cordes, Kaplansky's radical and quadratic forms over non real fields (pp. 251-261)
Erratum: "Embeddings of 2-spheres in 4-manifolds".
Erratum. Factorization Iterative Methods, M-operators and H-Operators. (Num. Math. 31, 335-357 (1979)).
Erratum: “Lower bounds for some factorable matrices" [Int. J. Math. Math. Sci. 2006, No. 14, Article ID 76135 (2006; Zbl pre05231649)].