Images of multilinear polynomials in the algebra of finitary matrices contain trace zero matrices

A brief introduction to quaternion matrices and linear algebra and on bounded groups of quaternion matrices

The division algebra of real quaternions, as the only noncommutative normed division real algebra up to isomorphism of normed algebras, is of great importance. In this note, first we present a brief introduction to quaternion matrices and quaternion linear algebra. This, among other things, will help us present the counterpart of a theorem of Herman Auerbach in the setting of quaternions. More ...

Notes on hadamard products of matrices - Linear and Multilinear Algebra

On Approximation Problems With Zero-Trace Matrices

12 because the conditions formulated in Corollary 1 are satissed for the problem (??). Therefore we have for every z 2 C jjjI + zBjjj k jjjIjjj k : Hence for every unitarily invariant norm we have by the properties of the unitarily invariant norms jjI + zBjj jjIjj: This completes the proof. 2 The above considerations imply that the characterization of a zero-trace matrix by means of the problem...

the trace of translators ideology in literary translations: a case study of persian translation of the scaret letter

رساله ی حاضر تلاشی است برای بررسی مبحث ایدئولوژی در ترجمه ادبی و تاثیرات آن بر کار مترجم، اعم از گزینش واژگان و ساختارهای دستوری؛ با تمرکز بر تحلیل انتقادی گفتمان در متن مبدأ و متن مقصد، که در این رساله متن مبدأ رمان داغ ننگ اثر ناتانیل هاوثورن و ترجمه فارسی سیمین دانشور به عنوان متن مقصد مورد بررسی قرار گرفته است. تجزیه و تحلیل رمان های مورد نظر به طور عمده بر اساس مدل پیشنهادی فرحزاد(2007) بر...

Determinants and permanents of Hessenberg matrices and generalized Lucas polynomials

In this paper, we give some determinantal and permanental representations of generalized Lucas polynomials, which are a general form of generalized bivariate Lucas p-polynomials, ordinary Lucas and Perrin sequences etc., by using various Hessenberg matrices. In addition, we show that determinant and permanent of these Hessenberg matrices can be obtained by using combinations. Then we show, the ...