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2012-10-30 Nonlinear Seminar

Piotr Kasprzak
On a certain class of functions of $$ \Lambda $$-bounded variation

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.

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