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Introduction to Spectral Theory in Hilbert Space, by G. M. Helmberg. iii + 346 pages. Series in Applied Mathematics and Mechanics, North-Holland, Amsterdam, 6, 1969. U.S. $19.50

1972
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Canadian mathematical bulletin
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The author states in his preface that "the aim of this book is to make the reader familiar with everything needed in order to understand, believe, and apply the spectral theorem for selfadjoint operators (not necessarily bounded) in Hilbert space". The reviewer feels that he achieves this handsomely. No previous algebraic knowledge is assumed, but a familiarity with Weierstrass' approximation theorem and Riemann-Stieltjes integration is required. Since the excellent collection of worked

doi:10.1017/s0008439500031477
fatcat:o5ncxbs62jehxl5jlby3bjmimq