by Leif Mejlbro
Publisher: BookBoon 2009
Number of pages: 80
Spectral Theory - Functional Analysis Examples. From the table of contents: Spectrum and resolvent; The adjoint of a bounded operator; Self adjoint operator; Isometric operators; Unitary and normal operators; Positive operators and projections; Compact operators.
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by Vladimir V. Kisil - University of Leeds
Contents: Fourier Series; Basics of Linear Spaces; Orthogonality; Fourier Analysis; Duality of Linear Spaces; Operators; Spectral Theory; Compactness; The spectral theorem for compact normal operators; Applications to integral equations; etc.
by D. Husemoller - Tata Institute of Fundamental Research
Contents: Exact Couples and the Connes Exact Couple; Abelianization and Hochschild Homology; Cyclic Homology and the Connes Exact Couple; Cyclic Homology and Lie Algebra Homology; Mixed Complexes, the Connes Operator B; and more.
by Javier Bernal - arXiv.org
As shape analysis is intricately related to Lebesgue integration and absolute continuity, it is advantageous to have a good grasp of the two notions. We review basic concepts and results about Lebesgue integration and absolute continuity.
by Ivan F. Wilde - King's College, London
These notes are based on lectures given as part of a mathematics MSc program. The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; etc.