On the norm of polynomials of two adjoint projections |
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| Authors: | Israel Feldman Naum Krupnik Alexander Markus |
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| Institution: | (1) Vossoedinenia Str. 18, apt. 72, 277060 Kishinev, USSR;(2) Department of Mathematics, Bar Ilan University, Ramat Gan, Israel;(3) Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, 84105 Beer Sheva, Israel |
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| Abstract: | Letf(X, Y) be a polynomial of two non-commuting variables and letP be an arbitrary nontrivial projection operator in Hilbert space. The class of all polynomialsf(X, Y) for which  f(P, P
*) depends only onf and P are described. In the case when such a dependence exists the explicit formula is obtained. Some applications to singular integral operators are given. |
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