Previous talks this semester:
April 28, 2016, 11^{15}13, room 105, Tomasz Kochanek (IMPAN/UW)
Title: The Szlenk power type of injective tensor products of Banach spaces.
Abstract:
We shall discuss the notion of the Szlenk power type (strictly related to the Szlenk index) and its
relationships with asymptotic geometry of Banach spaces. In particular,
we will describe how the socalled tree maps and subsequential tree estimates
can be used as tools to understand the dynamics of the Szlenk derivations. Next,
we will prove a formula for the Szlenk power type of the injective tensor product of
Banach spaces with the Szlenk index at most ω (a joint result with S. Draga).
This allows us, for example, to determine the moduli of asymptotic smoothness
of the spaces of compact operators between l_{p}spaces.
April 21, 2016, 11^{15}13, room 105, Gonzalo Martínez Cervantes (Ph. D, student, Murcia)
Title: Riemann integrability versus weak continuity.
Abstract:
We introduce some properties of Banach spaces related with Riemann integrability
and we study the relation between weakcontinuity and Riemann integrability.
In particular, a Banach space is said to have the weak Lebesgue property if every Riemann integrable
function from the unit interval into it is weakly continuous almost everywhere.
We present several results concerning the weak Lebesgue property.
April 7, 2016, 11^{15}13, room 105, Tomasz Żuchowski (Ph. D. student, UWr)
Title: Nonseparable growth of N supporting a strictly positive
measure.
Abstract:
We will construct in ZFC a compactification γN of N such
that its remainder γN\N is not separable and carries a strictly
positive measure, i.e. measure positive on all nonempty open subsets.
Moreover, the measure on our space is defined by the asymptotic density of
subsets of N. Our remainder is the Stone space of some Boolean subalgebra of
the algebra Bor(2^{N}) of all Borel subsets of 2^{N} containing all clopen sets.
This line of research is motivated by the problem
of characterizing the Banach spaces c_{0}⊆ X⊆ l_{∞} such that the space c_{0} is complemented in X.
Talks in the first semester of 201516.
Talks in the second semester of 201415.
Talks in the first semester of 201415.
Talks in the second semester of 201314.
Talks in the first semester of 201314.
Talks in the second semester of 201213.
Talks in the first semester of 201213.
Talks in the second semester of 201112.
Talks in the first semester of 201112.
