Title of article :
Christensen measurable solutions of some functional equation
Original Research Article
Author/Authors :
Eliza Jab?o?ska، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
Let XX be a separable FF-space over the field KK of reals or complex numbers. We characterize solutions of the equation
f(x+M(f(x))y)=f(x)f(y)f(x+M(f(x))y)=f(x)f(y)
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in the class of functions M:K→KM:K→K and Christensen measurable functions f:X→Kf:X→K.
Keywords :
Nonzero Christensen set , Go?a?b–Schinzel equation , Christensen measurable set , Exponential function , Christensen measurable function
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications