Results 11 to 20 of about 116 (42)
Constructing Invariant Subspaces as Kernels of Commuting Matrices [PDF]
, 2023 Given an n by n matrix A over the complex numbers and an invariant subspace L, this paper gives a straightforward formula to construct an n by n matrix N that commutes with A and has L equal to the kernel of N.
Cowen, Carl C. +2 more
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Characterizations and representations of left and right hybrid (b, c)-inverses in rings [PDF]
, 2021 Let R be an associative ring with unity 1 and let a, b ,c is an element of R. In this paper, several characterizations for left and right hybrid (b, c)-inverses of a are derived.
Patrício, Pedro +3 more
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On the Diagonalizability and Factorizability of Quadratic Boson Fields [PDF]
, 2022 We provide a necessary and sufficient condition on the coefficient matrices A,C for the diagonalizability of quadratic fields of the form, \[X =\sum_{i,j=1}^n (A_{i,j}a^+_i a^+_j+\overline{A}_{i,j}a_i a_j+C_{i,j}a^+_i a_j)\] where, the a’s and a†’s ...
Accardi, Luigi +3 more
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The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition [PDF]
, 2018 Given an endomorphism A over a finite dimensional vector space having Jordan-Chevalley decomposition, the lattices of invariant and hyperinvariant subspaces of A can be obtained from the nilpotent part of this decomposition.
Mingueza, David +2 more
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Maximal doubly stochastic matrix centralizers [PDF]
, 2017 We describe doubly stochastic matrices with maximal central-izers.info:eu-repo/semantics ...
Cruz, Henrique F. da +3 more
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A note on clean elements and inverses along an element [PDF]
, 2018 Let R be an associative ring with unity 1 and let a, d is an element of R. An element a is an element of R is called invertible along d if there exists unique a(parallel to d) such that a(parallel to d) ad = d = daa(parallel to d) and a(parallel to d )is
Patrício, Pedro, Zhu, Huihui
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Almost commuting permutations are near commuting permutations [PDF]
, 2015 We prove that the commutator is stable in permutations endowed with the Hamming distance, that is, two permutations that almost commute are near two commuting permutations. Our result extends to $k$-tuples of almost commuting permutations, for any given $
Arzhantseva, Goulnara, Paunescu, Liviu
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Matrices that commute with their derivative. On a letter from Schur to Wielandt
, 2012 We examine when a matrix whose elements are differentiable functions in one variable commutes with its derivative. This problem was discussed in a letter from Issai Schur to Helmut Wielandt written in 1934, which we found in Wielandt's Nachlass.
Adkins +33 more
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The kernels of powers of linear operator via Weyr characteristic
, 2023 The adjoint of a matrix in the Lie algebra associated with a matrix algebra is a fundamental operator, which can be generalized to a more general operator $\varphi_{AB}: X\rightarrow AX-XB$ by two matrices $A$ and $B$.
Jian, Jie, Liao, Jun, Liu, Heguo
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On maximal distances in a commuting graph [PDF]
, 2010 We study maximal distances in the commuting graphs of matrix algebras defined over algebraically closed fields. In particular, we show that the maximal distance can be attained only between two nonderogatory matrices.
Dolinar, Gregor +2 more
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