کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774749 1413566 2017 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Birkhoff-James ε-orthogonality sets of vectors and vector-valued polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Birkhoff-James ε-orthogonality sets of vectors and vector-valued polynomials
چکیده انگلیسی
Consider a complex normed linear space (X,‖⋅‖), and let χ,ψ∈X with ψ≠0. Motivated by recent works on rectangular matrices and on normed linear spaces, we study the Birkhoff-James ε-orthogonality set of χ with respect to ψ, give an alternative definition for this set, and explore its rich structure. We also introduce the Birkhoff-James ε-orthogonality set of polynomials in one complex variable whose coefficients are members of X, and survey and record extensions of results on matrix polynomials to these vector-valued polynomials.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 454, Issue 1, 1 October 2017, Pages 59-78
نویسندگان
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