Piotr Mankiewicz, professor
Ph. D.:IM PAN 1969, habilitation: IM PAN 1974
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.
- 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
- A Solution of the Finite-dimensional Homogeneous Banach Space
Problem, Israel J. of Math. 75 (1991), 129-159. Jointly with N.
- Schauder Bases in Quotients of Subspaces of $l_2(X),$ Amer. J.
of Math. 116 (1994), 1341-1363. Jointly with N. Tomczak-Jaegermann.