Troitsk: Troitsk branch of the state educational institution of higher professional education "Chelyabinsk State University", 2012. 159 s. 2nd Edition . , spr. and dop. This manual is the third part of the course of classical linear functional analysis and in structure repeats the previous parts of the course. The manual discusses the general properties of linear limited operators and functionals, conjugate spaces. The manual presents theoretical and practical material on the topic “Linear limited operators . Associated Spaces", studied by students of the specialty "Applied Mathematics and Computer Science" . The manual is distinguished by a summary brevity and simplicity of presentation . The solution of the most complex problems is given as examples, to many problems for independent solution are given instructions. The training manual is intended for teachers and students. Can be used to conduct practical classes and organize independent work of students.