کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4668065 1345495 2006 55 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Relative position of four subspaces in a Hilbert space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Relative position of four subspaces in a Hilbert space
چکیده انگلیسی

We study the relative position of several subspaces in a separable infinite-dimensional Hilbert space. In finite-dimensional case, Gelfand and Ponomarev gave a complete classification of indecomposable systems of four subspaces. We construct exotic examples of indecomposable systems of four subspaces in infinite-dimensional Hilbert spaces. We extend their Coxeter functors and defect using Fredholm index. The relative position of subspaces has close connections with strongly irreducible operators and transitive lattices. There exists a relation between the defect and the Jones index in a type II1 factor setting.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 201, Issue 2, 1 April 2006, Pages 263-317