کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417347 1339285 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Canonical decomposition of a tetrablock contraction and operator model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Canonical decomposition of a tetrablock contraction and operator model
چکیده انگلیسی

A triple of commuting operators for which the closed tetrablock E‾ is a spectral set is called a tetrablock contraction or an E-contraction. The set E is defined asE={(x1,x2,x3)∈C3:1−zx1−wx2+zwx3≠0 whenever |z|≤1,|w|≤1}. We show that every E-contraction can be uniquely written as a direct sum of an E-unitary and a completely non-unitary E-contraction. It is analogous to the canonical decomposition of a contraction operator into a unitary and a completely non-unitary contraction. We produce a concrete operator model for such a triple satisfying some conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 438, Issue 1, 1 June 2016, Pages 274-284
نویسندگان
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