Inequalities : a journey into linear analysis
Functional analysis Inequalities (Mathematics) Linear systems Numerical analysis e-böcker
Cambridge University Press
2007
EISBN 9780511288685
Measure and integral.
The Cauchy-Schwarz inequality.
The AM-GM inequality.
Convexity, and Jensen's inequality.
The Lp spaces.
Banach function spaces.
Rearrangements.
Maximal inequalities.
Complex interpolation.
Real interpolation.
The Hilbert transform, and Hilbert's inequalities.
Khintchine's inequality.
Hypercontractive and logarithmic Sobolev inequalities.
Hadamard's inequality.
Hilbert space operator inequalities.
Summing operators.
Approximation numbers and eigenvalues.
Grothendieck's inequality, type, and cotype.
D.J.H. Garling's 'Inequalities' contains a wealth of inequalities used in linear analysis, explaining in detail how they are used. The text will broaden the knowledge of postgraduate and research students, and will appeal to their teachers, and all who work in linear analysis.
The Cauchy-Schwarz inequality.
The AM-GM inequality.
Convexity, and Jensen's inequality.
The Lp spaces.
Banach function spaces.
Rearrangements.
Maximal inequalities.
Complex interpolation.
Real interpolation.
The Hilbert transform, and Hilbert's inequalities.
Khintchine's inequality.
Hypercontractive and logarithmic Sobolev inequalities.
Hadamard's inequality.
Hilbert space operator inequalities.
Summing operators.
Approximation numbers and eigenvalues.
Grothendieck's inequality, type, and cotype.
D.J.H. Garling's 'Inequalities' contains a wealth of inequalities used in linear analysis, explaining in detail how they are used. The text will broaden the knowledge of postgraduate and research students, and will appeal to their teachers, and all who work in linear analysis.
