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.
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.
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.
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.
Linear operators of Banach spaces with range in Lipschitz algebras
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, 50, Taleghani Ave., 15618, Tehran, Iran.
Receive Date: 10 April 2014,
Revise Date: 01 November 2014,
Accept Date: 01 November 2014
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.
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