A note on Maps preserving the local spectral subspace ofskew-product of operators
Publish place: The 11th Seminar on Linear Algebra and its Applications
Publish Year: 1400
نوع سند: مقاله کنفرانسی
زبان: English
View: 129
This Paper With 5 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
SLAA11_009
تاریخ نمایه سازی: 16 اسفند 1401
Abstract:
Let B(H) be the algebra of all bounded linear operators on in nite-dimensional complexHilbert space H. For T ۲ B(H) and ۲ C, let HT (f g) denotes the local spectral subspaceof T associated with f g. We show that if an additive map φ : B(H) ! B(H) has a rangecontaining all operators of rank at most two and satis esHφ(T)φ(S) (f g) = HTS (f g)for all T; S ۲ B(H) and ۲ C, then there exist two unitary operators U and V in B(H)such that φ(T) = UTV for all T ۲ B(H). Also, we obtain some interesting results in thisdirection.
Keywords:
Authors
Rohollah Parvinianzadeh
Department of Mathematics, University of Yasouj, Yasouj, Iran