@article {IOPORT.06107820, author = {Colonna, Flavia and Easley, Glenn}, title = {Multiplication operators between the Lipschitz space and the space of bounded functions on a tree.}, year = {2012}, journal = {Mediterranian Journal of Mathematics}, volume = {9}, number = {3}, issn = {1660-5446}, pages = {423-438}, publisher = {Birkh\"auser (Springer), Basel}, doi = {10.1007/s00009-011-0131-y}, abstract = {Summary: We characterize the bounded and the compact multiplication operators between the space of bounded functions on the set of vertices of a rooted infinite tree $T$ and the Banach space of complex-valued Lipschitz functions on $T$. We also determine the operator norm and the essential norm for the bounded multiplication operators between these spaces and show that there are no isometries among such operators.}, identifier = {06107820}, }