What Does the Spectral Theorem Say?Author(s): P. R. HalmosSource: The American Mathematical Monthly, Vol. 70, No. 3 (Mar., 1963), pp. 241-247Published by: Mathematical Association of AmericaStable URL: http://www.jstor.org/stable/2313117Accessed: 12/03/2009 12:39

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Issue Table of ContentsThe American Mathematical Monthly, Vol. 70, No. 3 (Mar., 1963), pp. 241-360Front MatterWhat Does the Spectral Theorem Say? [pp. 241-247]An Extension of the Fermat Theorem [pp. 247-250]On an Inequality for the Generalized Arithmetic and Geometric Means [pp. 251-255]A Differential Equation with Non-Unique Solutions [pp. 255-259]A Method for Obtaining Polynomials of Bernstein type of two Variables [pp. 260-264]Congruences for p(n) and Ramanujan's Function [pp. 265-274]A Note on Certain Non-Associative Algebras [pp. 274-277]A Generalized Polarization Identity [pp. 277-281]An Alternative Derivation of the z-Transform [pp. 281-284]Largest Subtopologies with Special Properties [pp. 284-285]Mathematical NotesA Theorem of Levitzki [p. 286]Compactness in Function Spaces [pp. 286-288]Complex Fibonacci Numbers and Fibonacci Quaternions [pp. 289-291]The Inversion of A Convolution Transorm Whose Kernel is a Laguerre Polynomial [pp. 291-293]Note on "an Extension of Fermat's Theorem" [pp. 293-294]On Quadrilaterals of Minimal Perimeter Inscribed in a Given Quadrilateral [pp. 294-298]A Theorem on Fixed Points Under Isometries [pp. 298-300]Remarks on a Paper of Rhoades [pp. 300-301]The Computation of the Generalized Inverse of singular or Rectangular Matrices [pp. 302-303]An Extension of Taylor's Formula [pp. 303-306]On a Sine Functional Equation [pp. 306-308]

Correction: Transformations of Series by a Variant of Stirling's Numbers [p. 309]Correction: Two Methods for the Evaluation of k [p. 309]Classroom NotesNote on Multiple Power Series [pp. 309-313]An Old Theorem in a New Setting [pp. 313-315]Inverses in Rings with Unity [p. 315]Reduction of the Simson Line Theorem to the Theorem of Pascal [pp. 315-316]The Existence and Uniqueness of the Exponential Function as the Solution of f' = f, f(0) = 1 [pp. 316-319]

Mathematical Education NotesAn Interesting Isomorphism [pp. 319-322]Reform of Instruction in Geometry [pp. 323-327]To Encourage Research in the Small College [pp. 327-328]Remedial Classes in Mathematics for High School Teachers [pp. 328-330]

Elementary Problems and SolutionsProblems for Solution: E1571-E1580 [pp. 330-331]SolutionsE1521 [pp. 331-332]E1522 [pp. 332-333]E1523 [p. 333]E1524 [pp. 333-334]E1525 [p. 334]

Advanced Problems and SolutionsProblems for Solutions: 5082-5091 [pp. 335-337]Solutions5004 [p. 337]5005 [pp. 337-338]5006 [pp. 338-339]5007 [p. 339]5008 [pp. 339-340]5009 [p. 340]5010 [p. 341]

Recent PublicationsReview: untitled [p. 341]Review: untitled [p. 342]Review: untitled [p. 342]Review: untitled [pp. 342-343]Review: untitled [p. 343]Review: untitled [p. 344]Review: untitled [p. 345]Review: untitled [p. 345]Review: untitled [pp. 346-347]Review: untitled [pp. 347-348]Review: untitled [p. 348]Review: untitled [p. 349]Review: untitled [p. 349]Review: untitled [p. 350]Review: untitled [p. 351]Brief Mention [pp. 351-353]

News and Notices [pp. 353-356]The Mathematical Association of America: Official Reports and CommunicationsNovember Meeting of the New Jersey Section [pp. 356-357]November Meeting of the Northeastern Section [p. 357]November Meeting of the Philadelphia Section [p. 358]November Meeting of the Texas Section [pp. 358-360]Calendar of Future Meetings [p. 360]

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