Elements of Non-Linear Functional Analysis
Richard A. Graff
Jan 1978 · American Mathematical Society: Memoirs of the American Mathematical Society Book 206 · American Mathematical Soc.
Ebook
196
Pages
reportRatings and reviews aren’t verified Learn More
About this ebook
A new notion of Frechet differentiability is introduced for maps between Banach spaces which are dual spaces, and it is shown that diffeomorphisms in the class of mappings thus isolated preserve the bounded weak-star topology as well as the ordinary metric topology. Basic Banach manifold differential topology is redeveloped under the assumption that the transition functions between the coordinate charts possess this refined type of differentiability, and it is pointed out that such manifolds possess additional structures not found on general manifolds: for example, a globally defined weaker topology, and Finsler metrics in which boundedness is equivalent to compact closure in the global weaker topology.
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
