- 期刊
SOME PROPERTIES OF PREREFLEXlVE SUBSPACES OF OPERATORS
摘要
In the paper, we define a notion of prereflexivity for subspaces, give several equivalent conditions of this notion and prove that if S ⊆ L(H) is prereflexive, then every σ-weakly closed subspace of S is prereflexive if and only if S has the property WP(see definition 2.11). By our result, we construct a reflexive operator A such that A □ 0 is not prereflexive.
延伸閱讀
- Chan, K. (1999). Linear preservers of operators with non-negative generalized numericalranges [master's thesis, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200004234
- Gazanfer, A. K., & Büyükyazici, E. (2014). Approximation by Certain Linear Positive Operators of Two Variables. Abstract and Applied Analysis, 2014(), 231-236-1321. https://doi.org/10.1155/2014/782080
- CHO, C. M. (1992). SPACES OF COMPACT OPERATORS WHICH ARE M-IDEALS IN L(X, Y). International Journal of Mathematics and Mathematical Sciences, 1992(), 617-619. https://doi.org/10.1155/S0161171292000802
- Kamali, M., & Sağsöz, F. (2011). Some Properties of Subclasses of Multivalent Functions. Abstract and Applied Analysis, (2011), 1265-1279. https://doi.org/10.1155/2011/361647
- Shi, S., & Fu, Z. (2013). Estimates of Some Operators on One-Sided Weighted Morrey Spaces. Abstract and Applied Analysis, 2013(), 341-349-1136. https://doi.org/10.1155/2013/829218