In this note, we study one of the main outcomes of the Russo-Dye Theorem of JB*-algebra: a linear operator that preserves Brown-Pedersen-quasi invertible elements between two JB*-algebras is…
In this article, we survey a geometric property, called Bade-property, originally introduced by William Bade. First, we review Bade’s work in normed linear spaces. Next, we illustrate various…
Matrices and their operations. Types of matrices. Elementary transformations. Linear systems of equations. Determinants, elementary properties. Inverse of a matrix. Vector spaces, linear…
Bounded subsets of the real line; supremum and infimum, completeness axiom; convergent sequences, Cauchy criterion, subsequences; series of numbers, generalized tests of convergence; limits of…
Math 581-1 Functional Analysis 4(3+1)
Banach spaces: Basic properties and examples, convex sets, subspaces and quotient spaces, linear functionals and the dual…