Charting the Operator Terrain

John Ernest

ian. 1976 · American Mathematical Society: Memoirs of the American Mathematical Society Cartea 171 · American Mathematical Soc.

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The purpose of this memoir is to offer a cartographic procedure for bringing some organizational sense to the prodigious task of exploring and describing the vast and varied terrain of bounded operators on a separable Hilbert space. While we prove (in a certain sense) that the classification of all operators up to unitary equivalence is an essentially unattainable objective, we hope this theory will prove serviceable in colonizing some additional enclaves as well as suggesting other more rugged areas which one might probe in search of fascinating and unusual phenomena.