“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 16536
School of Mathematics
  Title:   Orthogonality preserving pairs of operators on Hilbert C0(Z)-modules
  Author(s):  Mohammad Bagher Asadi (Joint with F. Olyaninezhad)
  Status:   Published
  Journal: Linear Multilinear Algebra
  Year:  2020
  Pages:   DOI: 10.1080/03081087.2020.1825610
  Supported by:  IPM
Suppose that Z is a locally compact Hausdorff space and Ψ,Φ: EF are C0(Z) -module maps between Hilbert C0(Z) -modules such that for every x , yE, xy implies Ψ(x) ⊥Φ(y). Then there exists a bounded complex function ϕ on Z that is continuous on ZE = {zZ : 〈x , x 〉(z) ≠ 0  for some  xE } and satisfies
〈Ψ(x),Φ(y) 〉 = ϕ·〈x , y〉,
for all x, yE .

Download TeX format
back to top
scroll left or right