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A function analysis diagram (FAD) is a method used in engineering design to model and visualize the functions and interactions between components of a system or product. It represents the functional relationships through a diagram consisting of blocks, which represent physical components, and labeled relations/arrows between them, which represent useful or harmful functional interactions.
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.
Anil Kumar Jain (born 1948 [1]) is an Indian-American computer scientist and University Distinguished Professor in the Department of Computer Science & Engineering at Michigan State University, known for his contributions in the fields of pattern recognition, computer vision and biometric recognition.
Padam Chand Jain (P.C. Jain) (born 30 September 1930) is an Indian mathematician who specialised in numerical solutions of partial differential equations. He was awarded in 1975 the Shanti Swarup Bhatnagar Prize for Science and Technology , the highest science award in India , in the mathematical sciences category.
The Banach Journal of Mathematical Analysis is a peer-reviewed mathematics journal founded by Professor Mohammad Sal Moslehian [1] and published by Tusi Mathematical Research Group in cooperation with Springer (Birkhäuser). It was established in 2006. The journal publishes articles on functional analysis and operator theory and related topics.
In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem [1] (named after Stefan Banach and Juliusz Schauder), is a fundamental result that states that if a bounded or continuous linear operator between Banach spaces is surjective then it is an open map.
Closed graph theorem (functional analysis) Closed range theorem; Cohen–Hewitt factorization theorem; Commutant lifting theorem; Commutation theorem for traces; Continuous functional calculus; Convex series; Cotlar–Stein lemma
In functional analysis, the compression of a linear operator T on a Hilbert space to a subspace K is the operator |:, where : is the orthogonal projection onto K.This is a natural way to obtain an operator on K from an operator on the whole Hilbert space.