Downloads: 121 | Views: 131
Research Paper | Mathematics | India | Volume 3 Issue 7, July 2014
A Note on Finite Rank Quadratic Operators
B. Krishna Reddy  | N. Gopal Reddy
Abstract: The representation result of a finite rank quadratic operator is given. It has been shown that the space FQ (H) of finite rank bounded quadratic operators on a real separable Hilbert space H is equal to the cross spaces L (H) H and SL (H) H for a space SL (H) of self-adjoint bonded linear operators on H and the space L (H) of bounded linear operators on H. As an application of the concept of finite rank quadratic operator, the numerical range of an operator ASL (H) is derived.
Keywords: finite rank operator, quadratic operator, numerical range, Hilbert Schmidt quadratic operator, bilinear operator
Edition: Volume 3 Issue 7, July 2014,
Pages: 41 - 43
Similar Articles with Keyword 'numerical range'
Research Paper, Mathematics, Kenya, Volume 8 Issue 1, January 2019Pages: 836 - 838
On Essential Numerical Range and Davis-Wielandt Shell of Hilbert Space Operators
D. O. Owego | N. B. Okelo | Omolo Ongati 
Research Paper, Mathematics, Mongolia, Volume 7 Issue 7, July 2018Pages: 728 - 730
The Numerical Range for z1V+a2V*
D. Tsedenbayar | L. Khadkhuu