**Bilkent-METU**

**Joint Analysis Seminars**

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**Matrix Characterization of
A-Statistical Convergence**

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*Speaker: ***Cihan Orhan**** **

**(Ankara Üniversitesi)**

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**Abstract**: By
using a recently introduced concept of A-uniform integrability, (for
nonnegative regular matrices A) we characterize the set of multipliers of the
summability field of A, (denoted as m__{A }(**U**)), over any algebra, **U**,
that lies in the sequence space of A-uniformly integrable sequences. Among the
main results, it is shown that the space of multipliers is closely related to
the space of A-statistically convergent sequences, and that A-statistical
convergence over bounded sequences is equivalent to a regular matrix method.

**Monday, 14 April 2008**

**15:40**

**Bilkent University**

** Department of Mathematics**

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