Foundations of modern analysis. Reprint of the 1970 orig. (English) Zbl 0557.46001

New York: Dover Publications, Inc. VI, 250 p. (1982).
This is an unaltered reprinting (with minor corrections) of the 1970 original. For a review see Zbl 0198.076.


46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
28-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
28A25 Integration with respect to measures and other set functions
46B03 Isomorphic theory (including renorming) of Banach spaces
35D10 Regularity of generalized solutions of PDE (MSC2000)
34B27 Green’s functions for ordinary differential equations
35J25 Boundary value problems for second-order elliptic equations
28A12 Contents, measures, outer measures, capacities
28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
46B10 Duality and reflexivity in normed linear and Banach spaces
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47A10 Spectrum, resolvent
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
54E35 Metric spaces, metrizability


Zbl 0198.076