Piotr Mankiewicz, professor

Most of my scientific life I worked in Banach space theory. My early research concern Banach spaces with the Random-Nikodym property, differentiability of Lipschitz mapping between Banach spaces, uniform and Lipschitz classification fo Banach spaces and generalizations of the Mazur-Ulam theorem. More recently, I study random quotients of finite dimensional Banach spaces. This led to constructions of finite dimensional Banach spaces with relatively "few" well bounded linear operators and resulted in solving several problems in both local and structural theory of Banach spaces.

Selected Publications:

• On the Differentiability of Lipschitz Mapping in Frechet spaces, Studia Math. 45 (1973), 15-29.
• Fat Equicontinuous Groups Homeomorphism of Linear Topological Spaces and Their Application to the Problem of Isometries in Linear Metric Spaces, Studia Math. 64 (1979), 13-23.
• Application of Ultrapowers to the Uniform and Lipschitz Classification of Banach Spaces, Studia Math. 73 (1982), 225-251. Jointly with S. Heindrch.
• A Superreflexive Banach Space X with L(X) Admitting a Homomorphism Onto the Banach Algebra $c(\beta N),$ Israel J. of Math. 65 (1989), 1-16.
• A Solution of the Finite-dimensional Homogeneous Banach Space Problem, Israel J. of Math. 75 (1991), 129-159. Jointly with N. Tomczak-Jaegermann.
• Schauder Bases in Quotients of Subspaces of $l_2(X),$ Amer. J. of Math. 116 (1994), 1341-1363. Jointly with N. Tomczak-Jaegermann.