Results 11 to 20 of about 63 (33)

On functional equations related to derivations in semiprime rings and standard operator algebras [PDF]

, 2012
In this paper functional equations related to derivations on semiprime rings and standard operator algebras are investigated. We prove, for example, the following result, which is related to a classical result of Chernoff.
Nejc Širovnik
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Jensen's functional equation on the symmetric group $\bold{S_n}$

, 2011
Two natural extensions of Jensen's functional equation on the real line are the equations $f(xy)+f(xy^{-1}) = 2f(x)$ and $f(xy)+f(y^{-1}x) = 2f(x)$, where $f$ is a map from a multiplicative group $G$ into an abelian additive group $H$.
C.T. Ng, C.T. Ng, C.T. Ng, C.T. Ng, Công-Trình Lê, M. Suzuki, Trung-Hiêu Thái   +6 more
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The Q-operator and Functional Relations of the Eight-vertex Model at Root-of-unity $\eta = \frac{2m K}{N}$ for odd N

, 2007
Following Baxter's method of producing Q_{72}-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the crossing parameter $\eta = \frac{2m K}{N}$ with odd $N$ where Q_{72} does not exist.
Albertini G, Baxter R J, Date E, Deguchi T, Deguchi T, Fabricius K, Fabricius K, Fabricius K, Fabricius K, Fabricius K McCoy B M, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Shi-shyr Roan, Takhtadzhan L A   +16 more
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The Luk\'{a}cs--Olkin--Rubin theorem on symmetric cones [PDF]

, 2014
In this paper we prove a Luk\'{a}cs type characterization theorem of the Wishart distribution on Euclidean simple Jordan algebras under weak regularity assumptions (e.g.
Gselmann, Eszter
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On commutators of idempotents

, 2023
Let $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$. Then $U$ decomposes the Banach space $X$ as $X = X_1 \oplus X_2$ with respect to which decomposition we have $U = \left(\begin{matrix} I_1 & 0 \\ 0 & -I_2 \end ...
Drnovšek, Roman
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Relative asymptotics for orthogonal matrix polynomials [PDF]

, 2010
In this paper we study sequences of matrix polynomials that satisfy a non-symmetric recurrence relation. To study this kind of sequences we use a vector interpretation of the matrix orthogonality.
Branquinho, A., Marcellán, F., Mendes, A.   +2 more
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Gradient Based Iterative Algorithm to Solve General Coupled Discrete-Time Periodic Matrix Equations over Generalized Reflexive Matrices [PDF]

, 2016
The discrete-time periodic matrix equations are encountered in periodic state feedback problems and model reduction of periodic descriptor systems. The aim of this paper is to compute the generalized reflexive solutions of the general coupled discrete ...
Masoud Hajarian
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On the equivalence of pre-Schroder equations [PDF]

, 2007
In the paper the equivalence of the system of two pre-Schr¨oder functional equations (equations (Sn), (Sm) for m > n 3, n,m 2 N) and the whole system (S), is considered. The results solve the problem of Gy.
Kalinowski, Józef
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A variant of d’Alembert’s matrix functional equation [PDF]

, 2020
The aim of this paper is to characterize the solutions Φ:G→M2(ℂ) of the following matrix functional equations\frac{Φ(xy)+Φ(σ(y)x)}{2} = Φ(x)Φ(y), x,y∈G,and\frac{Φ(xy)-Φ(σ(y)x)}{2} = Φ(x)Φ(y), x,y∈G,where G is a group that need not be abelian, and σ:G→G ...
Aissi, Youssef, Ayoubi, Mohamed, Zeglami, Driss   +2 more
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Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation, I. the least squares solution. [PDF]

, 2011
In this paper a state space formula is derived for the least squares solution X of the corona type Bezout equation G(z)X(z) =
A. C. M. Ran, A. E. Frazho, A.E. Frazho, A.E. Frazho, B. Sz-Nagy, C.F. Schubert, Chr. Heij, H. Bart, H. Bart, I. Gohberg, I. Gohberg, J.C. Doyle, L. Carleson, M. A. Kaashoek, M. Green, M. Vidyasagar, M.J. Corless, N.K. Nikol’skii, P. Fuhrmann, P. Lancaster, P.A. Iglesias, P.A. Iglesias, S. Treil, S. Treil, T.T. Trent, T.T. Trent, V.V. Peller, W. Arveson   +27 more
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