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Fikhtengol'ts's books on analysis are widely used in Middle and Eastern European, as well as Chinese universities, due to their exceptionally detailed and well-organized presentation of material on mathematical analysis. For unknown reasons, these books have not gained the same level of fame in universities in other parts of the world.
Rajendra Bhatia founded the series Texts and Readings in Mathematics in 1992 [5] and the series Culture and History of Mathematics on the history of Indian mathematics. He has served on the editorial boards of several major international journals such as Linear Algebra and Its Applications, and the SIAM Journal on Matrix Analysis and Applications.
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.
Download as PDF; Printable version; In other projects ... Wikidata item; Appearance. move to sidebar hide. This is a list of functional analysis topics. See also ...
Nonsmooth analysis is a brach of mathematical analysis that concerns non-smooth functions like Lipschitz functions and has applications to optimization theory or control theory. Note this theory is generally different from distributional calculus , a calculus based on distributions.
The spectrum of a linear operator that operates on a Banach space is a fundamental concept of functional analysis. The spectrum consists of all scalars λ {\displaystyle \lambda } such that the operator T − λ {\displaystyle T-\lambda } does not have a bounded inverse on X {\displaystyle X} .
The study, which depends heavily on the topology of function spaces, is a branch of functional analysis. If a collection of operators forms an algebra over a field, then it is an operator algebra. The description of operator algebras is part of operator theory.
Functional analysis is that branch of mathematics and specifically of analysis which is concerned with the study of spaces of functions The main article for this category is Functional analysis . Shortcut