This text is concerned with the relationship between spectral decomposition of operators, the functional calculi that operators admit, and Banach space structure. The deep connection between the first two of these concepts has long been known. The aim of this text is to provide an introduction to the modern techniques of AC- operators and prespectral operators in spectral theory. Topics include the basic results of AC- operators and prespectral operators on Banach spaces and the application of spectral theory on c*-algebras. Much of the subject matter, particularly with respect to AC-...
This text is concerned with the relationship between spectral decomposition of operators, the functional calculi that operators admit, and Banach spac...
Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Themistocles M. Rassias
This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities. In addition to the frequent use of methods from Functional Analysis, Operator Theory, Global Analysis, Linear Algebra, Approximations Theory, Difference and Functional Equations and more, the reader will also appreciate techniques of classical analysis and algebraic arguments, as well as combinatorial methods. Subjects such as operator Young inequalities, operator inequalities for positive linear maps, operator inequalities involving operator monotone functions, norm...
This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities. In addition to the frequent use...
