/Banach Space General/

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Anonymous

/Banach Space General/ 2016-01-10 10:36:02 Post No. 7773296

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/Banach Space General/ 2016-01-10 10:36:02 Post No. 7773296

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ITT: Discuss anything to do with Banach spaces, Hilbert spaces or [math]l^p[/math] spaces.

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Stop flooding /sci/ with these threads retard

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What about sobolev spaces?

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>>7773304

What's a Sobolev space?

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>>7773306

They are Banach spaces.

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>>7773296

And what do you want to discuss, your functional analysis homework?

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>>7773306

Its used to solve nonlinear partial differential equations i think its cool

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>>7773312

How can I begin functional analysis with only newb knowledge in analysis and linear algebra?

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>>7773322

Read all three volumes of "Linear Operators" by Nelson Dunford and Jacob T. Schwartz

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>>7773322

functional analysis is really my limit. I cannot do a single proof with C* algebras, I just can't.

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>>7773304

They're subspaces of L^p spaces so I guess it's all right

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>>7773328

where does one download these

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>>7773306

Like

>>7773423

>>7773307

they are subspaces of L^p spaces, so they are Banach spaces that are separable (except for p=inf) and reflexive(except for p=1 and p=inf) and you can think of them of the spaces of L^p functions which are weakly differentiable, which is as the name suggests a generalisation of the usal derivative. Sobolev spaces are pretty much the core of modern theory of differential equations, which in fact is pretty much applied (nonlinear) functional analysis, where you can reduce the questions existence and uniqueness of a solution of a differential equation on properties of an operator between such a sobolev space and its dual space.

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>>7773296

What about Frechet spaces?

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>>7773447

internet

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