DECOMPOSITIONS OF OPERATOR ALGEBRAS I & II - I.E.SEGAL

Published 1951 by The American Mathematical Society, New York City, 66 pp.  Softback with fading.  Memoirs of the American Mathematical Society Number 9: Decompositions of Operator Algebras I and II by I.E.Segal.  The author shows that an algebra of operators on a Hilbert space can be decomposed relative to a Boolean algebra of invariant subspaces as a kind of direct integral, similar to the decomposition as a direct sum of algebras of linear transformations on finite-dimensional spaces.  PETER J. HADLEY Bookseller ABA ILAB (Harwich Old Books) 21 Market Street, Harwich, Essex CO12 3DX, UK Telephone: (+44) (0) 1255 551667 Email: books@hadley.co.uk Established 1982. Traditional shop open Friday and Saturday 10-5, Sundays 1-5 and other times by chance or by appointment. Website has over 6000 hand-picked titles and is regularly updated - visit http://www.hadley.co.uk. Peter J. Hadley Bookseller Ltd. Registered in England No. 050843449. Registered office as above. VAT Reg. No. 489 0588 89.