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Add the following into the article's bibliography * {{Rudin Walter Functional Analysis|edition=2}} and then add a citation by using the markup
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.
Functional analysis applies the methods of linear algebra alongside those of mathematical analysis to study various function spaces; the central objects of study in functional analysis are L p spaces, which are Banach spaces, and especially the L 2 space of square integrable functions, which is the only Hilbert space among them. Functional ...
Let be an arbitrary set and a Hilbert space of real-valued functions on , equipped with pointwise addition and pointwise scalar multiplication.The evaluation functional over the Hilbert space of functions is a linear functional that evaluates each function at a point ,
Add the following into the article's bibliography * {{Rudin Walter Functional Analysis|edition=2}} and then add a citation by using the markup
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} .
Functional Analysis. International Series in Pure and Applied Mathematics. Vol. 8 (Second ed.). New York, NY: McGraw-Hill Science/Engineering/Math. ISBN 978-0-07-054236-5. OCLC 21163277. M. Takesaki, Theory of Operator Algebras I, Springer, 2001, 2nd printing of the first edition 1979. Yoshida, Kôsaku (1980), Functional Analysis (sixth ed ...
P. Pardha Saradhi is an Indian plant biologist and a professor at the Department of Environmental Studies of the University of Delhi. [1] The team led by him is reported to have developed a transgenic mustard for the first time in India. [2]