Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, 50, Taleghani Ave., 15618, Tehran, Iran.
Abstract
In this paper, a complete description concerning linear operators of Banach spaces with range in Lipschitz algebras $lip_al(X)$ is provided. Necessary and sufficient conditions are established to ensure boundedness and (weak) compactness of these operators. Finally, a lower bound for the essential norm of such operators is obtained.
Mahyar, H., Golbaharan, A. (2016). Linear operators of Banach spaces with range in Lipschitz algebras. Bulletin of the Iranian Mathematical Society, 42(1), 69-78.
MLA
H. Mahyar; A. Golbaharan. "Linear operators of Banach spaces with range in Lipschitz algebras". Bulletin of the Iranian Mathematical Society, 42, 1, 2016, 69-78.
HARVARD
Mahyar, H., Golbaharan, A. (2016). 'Linear operators of Banach spaces with range in Lipschitz algebras', Bulletin of the Iranian Mathematical Society, 42(1), pp. 69-78.
VANCOUVER
Mahyar, H., Golbaharan, A. Linear operators of Banach spaces with range in Lipschitz algebras. Bulletin of the Iranian Mathematical Society, 2016; 42(1): 69-78.