Lectures related to Analysis of ARV

Covers the definition of applications, image of elements, and direct and reciprocal images.

Explores independence in infinite coin tosses, covering sets, shifts, and T-invariance.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers weak derivatives, their properties, and applications in functional analysis.