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- Title
Weyl type theorems for (α, β)-normal operators.
- Authors
Senthilkumar, D.; Sherinjoy, S. M.
- Abstract
A bounded linear operator T is said to be an (α,β)-normal operator (0 ⩽ α ⩽ 1 ⩽ β) if α2T*T ⩽ TT* ⩽ β2T*T. This class of operators is defined by M. S. Moselehian [20]. In this paper some spectral properties of (α,β)-normal operators are discussed, generalised a- Weyl's theorem is proved for this kind of operators. An example of an (α,β)-normal operator which is neither normal nor hyponormal is given.
- Subjects
WEYL theory of boundary value problems; NORMAL operators; SPECTRAL geometry; STOCHASTIC partial differential equations; HILBERT space; ADJOINT differential equations
- Publication
Scientia Magna, 2010, Vol 6, Issue 2, p34
- ISSN
1556-6706
- Publication type
Article