The principal reference for this syllabus is: [1] J.K. Hunter and B. Nachtergaele, Applied Analysis. With the exception of the topics from advanced calculus, a question may appear on the exam if and ...

The Journal of Operator Theory endeavours to publish significant articles in all areas of operator theory, operator algebras and closely related domains. All accepted manuscripts are carefully ...

Spectral problems in boundary value problems constitute a fundamental area of applied mathematics and mathematical physics, where the focus lies on determining eigenvalues and corresponding ...

Let K denote the group of all automorphisms of a finite Lebesgue space equipped with the weak topology. For T ∈ K, let σT denote its maximal spectral type. Theorem ...

Properties of the real numbers, infimum and supremum of sets. Numerical sequences and series. Limits of functions, continuous functions, intermediate value theorem, uniform continuity. Differentiation ...