On m-quasi class A(k∗) and absolute-(k∗,m)-paranormal operators
On m-quasi class A(k∗) and absolute-(k∗,m)-paranormal operators
In this paper, we introduce a new class of operators, called m-quasi class A(k∗) operators, which is a superclass of hyponormal operators and a subclass of absolute-(k∗,m)-paranormal operators. We will show basic structural properties and some spectral properties of this class of operators. We show that if T is m-quasi class A(k∗), then σnp(T) {0} = σp(T) {0}, σna(T) {0} = σa(T) {0} and T − µ has nite ascent for all µ ∈C. Also, we consider the tensor product of m-quasi class A(k∗) operators.
___
- Aiena,P., Semi-Fredholm operators, perturbations theory and localized SVEP , XX Escuela Venezolana de Matematicas, Merida, Venezuela 2007.
- Aluthge, A., Wang, D., The joint approximate point spectrum of an operator , Hokkaido Math. J., 31 (2002), 187-197.
- Ando, T., Operators with a norm condition , Acta Sci. Math.(Szeged), 33, 169-178, 1972.
- Arora, S. C., Thukral, J. K., On a class of operators, Glas. Math. Ser. III, 21(41) no.2, 381-386, 1986.
- Duggal, B. P., Jeon, I. H., Kim, I. H., On -paranormal contractions and properties for -class A operators, Linear Alg. Appl. 436, 954-962, 2012.
- Furuta, T., On the class of paranormal operators , Proc. Japan Acad. 43, 594-598, 1967.
- Furuta, T., Ito, M., Yamazaki, T., A subclass of paranormal operators including class of log-hyponormal and several related classes , Sci. Math. 1, no.3, 389-403, 1998.
- Han, J. K., Lee, H. Y., Lee, W. Y., Invertible completions of 2 2 upper triangular operator matrices Proc. Amer. Math. Soc., 128, no.1, 119-123, 2000.
- Hansen, F., An operator inequality , Math. Ann. 246, 249-250, 1980.
- Kim, I. H., Weyl's theorem and tensor product for operators satisfying T kjT 2jT k T kjT j2T k, J. Korean Math. Soc. 47, No.2, 351-361, 2010.
- Kim, I. H., On spectral continuities and tensor products of operators , J. Chungcheong Math. Soc., 24, No.1, 113-119, 2011.
- McCarthy, C. A., cp, Israel J. Math. 5, 249-271, 1967.
- Panayappan, S., Radharamani, A., A Note on p- -paranormal Operators and Absolute- k - Paranormal Operators, Int. J. Math. Anal. 2, no.25-28, 1257-1261, 2008.
- Saito, T., Hyponormal operators and Related topics , Lecture notes in Math., Springer-Verlag, 247, 1971.
- Stochel, J., Seminormality of operators from their tensor products , Proc. Amer. Math. Soc., 124, 435-440, 1996
- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
Sayıdaki Diğer Makaleler
Faisal ALI, Shuliang HUANG, Abdul HAFEEZ, Muhammad SALMAN
⊕-co-coatomically supplemented and co-coatomically semiperfect modules
On $m$-quasi class $\mathcal{A}(k^{*})$ and absolute-$(k^{*},m)$-paranormal operators
İlmi HOXHA, Naim L. BRAHA, Kotaro TANAHASHİ
Numerical solution and stability analysis of a nonlinear vaccination model with historical e ects
Davood ROSTAMY, Ehsan MOTHAGHİ
Davood ROSTAMY, Ehsan MOTTAGHİ
Existence results for nonlinear boundary value problems with m-point integral boundary condition