Search results
Results from the WOW.Com Content Network
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.
Suresh Kumar Bhatia (born 1952) is an Indian-born chemical engineer and professor emeritus at the School of Chemical Engineering, University of Queensland. [1] He is known for his studies on porous media and catalytic and non-catalytic solid fluid reactions. [ 2 ]
In the following we formally extend the range of to [,] with the convention that ‖ ‖ is the operator norm. The dual index to = is then =.. The Schatten norms are unitarily invariant: for unitary operators and and [,],
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.
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 Theory of Functional Connections (TFC) is a mathematical framework designed for functional interpolation.It introduces a method to derive a functional— a function that operates on another function—capable of transforming constrained optimization problems into equivalent unconstrained problems.
In mathematics, Riesz's lemma (after Frigyes Riesz) is a lemma in functional analysis. It specifies (often easy to check) conditions that guarantee that a subspace in a normed vector space is dense. The lemma may also be called the Riesz lemma or Riesz inequality.