The norm and modulus of a Foguel operator Stephan Garcia 47A47B47B99complex symmetric operatorFoguel operatorHankel operatorFoguel-Hankel operatorpower bounded operatorpolynomially bounded operatorcontractionGolden Ratioconjugation We develop a method for calculating the norm and the spectrum of the modulus of a Foguel operator. In many cases, the norm can be computed exactly. In others, sharp upper bounds are obtained. In particular, we observe several connections between Foguel operators and the Golden Ratio. Indiana University Mathematics Journal 2009 text pdf 10.1512/iumj.2009.58.3735 10.1512/iumj.2009.58.3735 en Indiana Univ. Math. J. 58 (2009) 2305 - 2316 state-of-the-art mathematics http://iumj.org/access/