Math 806 Notes on Linear Algebra

Some notes on the existence of an inequality in Banach algebra

We shall prove an existence inequality for two maps on Banach algebra, withan example and in sequel we have some results on R and Rn spaces. This waycan be applied for generalization of some subjects of mathematics in teachingwhich how we can extend a math problem to higher level.

Math 806 Notes on Galois Theory

3 Extensions of rings and fields 14 3.1 Symmetric polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.2 Integral ring extensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.3 Prime ideals in Z[x]: elementary classification . . . . . . . . . . . . . . . . . . . . . . 19 3.4 The spectrum of a commutative ring . . . . . . . . . . . . . ...

Some notes on L-projections on Fourier-Stieltjes algebras

In this paper, we investigate the relation between L-projections and conditional expectations on subalgebras of the Fourier Stieltjes algebra B(G), and we will show that compactness of G plays an important role in this relation.

Lecture notes Math 4377/6308 – Advanced Linear Algebra I

Some notes on sets , logic , and mathematical language

These are ‘‘generic’’ notes, for use in Math 110, 113, 104 or 185. (This printing is adapted for use in Math 110 with Friedberg, Insel and Spence’s Linear Algebra. Part 1 below has a large overlap with Appendices A and B of that text, but I have left it in for completeness, and because it gives further examples of the concepts in question.) These pages do not develop in detail the definitions a...