APPROXIMATELY p-WRIGHT AFFINE FUNCTIONS, INNER PRODUCT SPACES AND DERIVATIONS

作者：Bahyrycz Anna; Brzdek Janusz^*; Piszczek Magdalena^*

来源：Fixed Point Theory, 2017, 18(1): 69-84.

DOI：10.24193/fpt-ro.2017.1.07

• Hyperstability
• p-Wright affine function
• inner product space
• derivation
• Lie derivation
• Lie homomorphism
• fixed point theorem

We prove a result on hyperstability (in normed spaces) of the equation that defines the p-Wright affine functions and show that it yields a simple characterization of complex inner product spaces. We also obtain in this way some inequalities describing derivations, Lie derivations and Lie homomorphisms.

• 出版日期2017