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< (Continuation of the [[2012-10-23 Nonlinear Seminar]])
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> During the seminar we are going to define a certain class of functions of $$\Lambda$$-bounded variation and prove some properties of such functions. Furthermore, we are going to show that endowed with a certain functional the class in questions becomes a strictly convex Banach space. We are also going to provide several non-trivial examples illustrating our considerations.
Piotr Kasprzak
On a certain class of functions of -bounded variation
During the seminar we are going to define a certain class of functions of -bounded variation and prove some properties of such functions. Furthermore, we are going to show that endowed with a certain functional the class in questions becomes a strictly convex Banach space. We are also going to provide several non-trivial examples illustrating our considerations.