Krasikova I. Narrow operators on the spaces L _ infty (µ) and related to them questions on the geometry of spaces of measurable functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U001847

Thesis Registration Form

0411U001847.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

25-03-2011

Specialized Academic Board

K 76.051.02

Essay

The thesis is devoted to investigation of some geometric properties of Kothe spaces and continuous linear maps on these spaces. The main subject of our study is the notion of narrow operator on the space on a finite atomless measure space. The methods of Geometric Banach Spase Theory are used in the investigation. The results of the thesis are of theoretical character and can be applied to the General Function Theory, Topology and Functional Analysis.

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