Weak laws of large numbers in banach spaces.

THE UNIVERSITY OF DANANG

UNIVERSITY OF EDUCATION

FACULTY OF MATHEMATICS

DUONG PHUOC LUAN

WEAK LAWS OF LARGE NUMBERS

IN BANACH SPACES

UNDERGRADUATE THESIS

April, 2016

THE UNIVERSITY OF DANANG

UNIVERSITY OF EDUCATION

FACULTY OF MATHEMATICS

DUONG PHUOC LUAN

WEAK LAWS OF LARGE NUMBERS

IN BANACH SPACES

UNDERGRADUATE THESIS

Supervisor:

Dr. Cao Van Nuoi

April, 2016

ACKNOWLEDGEMENTS

First of all, I would like to express my deepest gratitude to my supervisor,

Dr. Cao Van Nuoi, for his excellent guidance, caring, patience, and providing me

with an excellent atmosphere for writing this thesis. I have learned a lot from

him not only in scientic environment but also in everyday life.

I would like to thank all the teachers who have taught me from the rst day

of my university life till now. I am also grateful to the leader boards of Faculty

of Mathematics, University of Education - Danang University for permitting me

to write this thesis in English.

Last but not least, I also thank my close friends who have supported me to

overcome tough times. I greatly value their friendship and I deeply appreciate

their belief in me.

Danang, 25 April 2016

Duong Phuoc Luan

i