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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.

##### MSC:
 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