This is the abstract of the paper "$B$-bounded semigroups and implicit evolution equations" by Jacek Banasiak. For the whole paper send the command get evolve-l 99-00020 to: "listserv@rz.uni-karlsruhe.de". Instead you may get the paper at "http://ma1serv.mathematik.uni-karlsruhe.de/evolve-l/index.html" too. Abstract: The aim of this paper is to show an application of the recently introduced $B$-bounded semigroups in the theory of implicit and degenerate evolution equations. The most interesting feature of this approach is its applicability to problems with non closeable operators. Key words: $B$-bounded semigroups, empathy theory, implicit evolution equations AMS subject classification: 47D06, 34G10.