A course on topological vector spaces. (2020)

• Record Type: Book
• Further Information: Note: Jürgen Voigt.
• Other Names: Voigt, Jürgen
• Contents: Initial topology, topological vector spaces, weak topology.- Convexity, separation theorems, locally convex spaces.- Polars, bipolar theorem, polar topologies.- The theorems of Tikhonov and Alaoglu-Bourbaki.- The theorem of Mackey-Arens.- Topologies on E'', quasi-barrelled and barrelled spaces.- Reflexivity.- Completeness.- Locally convex final topology, topology of D(\Omega).- Precompact -- compact – complete.- The theorems of Banach--Dieudonne and Krein—Smulian.- The theorems of Eberlein--Grothendieck and Eberlein—Smulian.- The theorem of Krein.- Weakly compact sets in L_1(\mu).- \cB_0''=\cB.- The theorem of Krein—Milman.- A The theorem of Hahn-Banach.- B Baire's theorem and the uniform boundedness theorem.
• Publisher Details: Cham : Birkhäuser
• Publication Date: 2020
• Extent: 1 online resource (152 p.)
• Subjects: 515/.73; Vector spaces; Vector spaces; Electronic books
• Languages: English
• ISBNs: 9783030329457; 3030329453
• Related ISBNs: 9783030329440; 3030329445
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.