Saturday, August 9, 2014

Functional Analysis/Hilbert spaces

Function space
A function space is a space made of functions. Each
function in the space can be thought of as a point. Ex-
amples:
1. C[a, b], the set of all real-valued continuous functions
in the interval [a, b];
2. L1[a, b], the set of all real-valued functions whose ab-
solute value is integrable in the interval [a, b];
3. L2[a, b], the set of all real-valued functions square inte-
grable in the interval [a, b]
Note that the functions in 2 and 3 are


Functional Analysis/Hilbert spaces - Wikibooks, open books ...

en.wikibooks.org/wiki/Functional_Analysis/Hilbert_spaces

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Functional Analysis/Hilbert spaces. From Wikibooks, open books for an open world. < Functional Analysis. Unreviewed changes are displayed on this page ...
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    www.mit.edu/~9.../mathcamp01.p...

    Massachusetts Institute of Technology
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  • Functional analysis - Wikipedia, the free encyclopedia

    en.wikipedia.org/wiki/Functional_analysis

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    Jump to Hilbert spaces - [edit]. Hilbert spaces can be completely classified: there is a unique Hilbert space up to isomorphism for every cardinality of the ...
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    University of Nebraska–Lincoln
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    Functional Analysis Review. Joe Geisbauer. 1 Hilbert Spaces. Definition (1): A vector space (over F) is an inner product space if there exists a function.

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    bookboon.com/.../hilbert-spaces-and-operators-on-hilbert-spa...

    Bookboon
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    Rating: 4.8 - ‎14 reviews
    Hilbert Spaces and Operators on Hilbert Spaces. Functional Analysis Examples c-3. Leif Mejlbro. Hilbert Spaces and Operators on Hilbert Spaces. 4.8 (14 ...
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    Functional Analysis Notes - NYU

    www.cims.nyu.edu/.../functio...

    Courant Institute of Mathematical Sciences
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    Spectrum of Compact Operators in Hilbert Spaces . ... Some motivational remarks about Functional Analysis? Linear spaces, linear operators in infinite dimen-.
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    Chapter 11 The Hilbert Space Functional analysis is a ...

    www.math.uni-hamburg.de/home/.../chapter11.p...

    University of Hamburg
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    Functional analysis is a fruitful interplay between linear algebra and analysis. One de- ... the second is concerned with linear operators on the Hilbert space.

  • Introduction to Functional Analysis - School of Mathematics

    www1.maths.leeds.ac.uk/~kisilv/.../math3263m.html

    University of Leeds
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