@article {Ferrer:January 2002:0022-247X:322, author = "Ferrer J.", title = "Rolles Theorem for Polynomials of Degree Four in a Hilbert Space", journal = "Journal of Mathematical Analysis and Applications", volume = "265", year = "January 2002", abstract = "

In an infinite-dimensional real Hilbert space, we introduce a class of fourth-degree polynomials which do not satisfy Rolle's Theorem in the unit ball. Extending what happens in the finite-dimensional case, we show that every fourth-degree polynomial defined by a compact operator satisfies Rolle's Theorem. © 2002 Elsevier Science.

", pages = "322-331(10)", url = "http://www.ingentaconnect.com/content/ap/ay/2002/00000265/00000002/art07708" }