m at h . FA ] 1 0 N ov 1 99 7 Nonlinear Quotients
نویسندگان
چکیده
Lipschitz quotient mappings and uniform quotient mappings between Banach spaces are introduced and investigated. In particular, it is shown that if a Banach space is a uniform quotient of L p , 1 < p < ∞, then it is isomorphic to a linear quotient of L p. For the purpose of studying quotient mappings and also for their own interest, new concepts related to approximating general Lipschitz functions by affine functions are introduced and characterized.
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