کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898016 | 1631055 | 2018 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Norm inequalities for a class of elementary operators generated by analytic functions with non-negative Taylor coefficients in ideals of compact operators related to p-modified unitarily invariant norms
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let ân=1â(âAnhâ2+âAnâhâ2+âBnhâ2+âBnâhâ2)<+â for all h in a Hilbert space H, for some families {An}n=1â and {Bn}n=1â of bounded operators on H, where at least one of them consists of mutually commuting normal operators. If p⩾2, Φ is a symmetrically normed (s.n.) function, Φ(p) is its p-modification, Φ(p)â is a s.n. function adjoint to Φ(p) and ââ
âΦ(p)â is a norm on the ideal , associated to the s.n. function Φ(p)â, then for all (1)âân=1âAnXBnâΦ(p)â⩽â(ân=1âAnâAn)1/2X(ân=1âBnBnâ)1/2âΦ(p)â. Amongst other applications, this new Cauchy-Schwarz type norm inequality was used to explore a class of elementary operators induced by an analytic functions with non-negative Taylor coefficients to prove that, under conditions required for (1),âf(ân=1âAnâBn)XâΦ(p)â⩽âf(ân=1âAnââAn)(I)Xf(ân=1âBnâBnâ)(I)âΦ(p)â, whenever âân=1âAnâAnâ, âân=1âAnAnââ, âân=1âBnâBnâ and âân=1âBnBnââ are smaller then the radius of convergence of an analytic function f, where AnâBn stands for the bilateral multipliers . Different applications and examples for the obtained norm inequalities are also provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 540, 1 March 2018, Pages 60-83
Journal: Linear Algebra and its Applications - Volume 540, 1 March 2018, Pages 60-83
نویسندگان
Danko R. JociÄ, Milan LazareviÄ, Stefan MiloÅ¡eviÄ,