On some new properties of consolidated normed quasilinear spaces

The master's thesis named "On Some New Properties of Consolidated Normed Quasilinear Spaces" consists of four parts. A short piece of literature on our work in first space is small. The second was the basic basic concept that would be used later and was accepted. Third space quasilinear space, normed quasilinear space, inner cross quasilinear space, quasilinear imperative- and solidly grounded quasilinear space design are introduced. The fourth space, which is the original part of the thesis, is introduced as a different quasilinear spaceC([a,b], I_{ℝ}). Application of the quasilinear inner product space of C([a,b], I_{ℝ}) where this space defines an inner bounds on C([a,b], I_{ℝ}).