scholarly journals Reflection symmetry and symmetrizability of Hilbert space operators

2004 ◽  
Vol 133 (6) ◽  
pp. 1727-1731 ◽  
Author(s):  
Zoltán Sebestyén ◽  
Jan Stochel
2003 ◽  
Vol 4 (2) ◽  
pp. 301
Author(s):  
A. Bourhim

<p>In this talk, to be given at a conference at Seconda Università degli Studi di Napoli in September 2001, we shall describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operator T on a Hilbert space H and shall answer some questions due to L. R. Williams.</p>


2012 ◽  
Vol 436 (5) ◽  
pp. 1516-1527 ◽  
Author(s):  
Omar Hirzallah ◽  
Fuad Kittaneh ◽  
Mario Krnić ◽  
Neda Lovričević ◽  
Josip Pečarić

Author(s):  
Ahlem Benmakhlouf ◽  
Omar Hirzallah ◽  
Fuad Kittaneh

2013 ◽  
Vol 438 (10) ◽  
pp. 3776-3780 ◽  
Author(s):  
A. Morassaei ◽  
F. Mirzapour ◽  
M.S. Moslehian

1991 ◽  
Vol 11 (4) ◽  
pp. 779-786 ◽  
Author(s):  
Dan Voiculescu

In the papers [9, 10, 3, 11] on perturbations of Hilbert space operators, we studied an invariant (τ) where is a normed ideal of compact operators and τ a family of operators. The size of an ideal for which (τ) vanishes or does not vanish is an upper, respectively lower, bound for a kind of dimension of τ. In the case of systems of commuting self-adjoint operators τ, the results of [9,3] relate (τ) with (an ideal slightly smaller than the Schatten von Neumann class ) to the way the spectral measure of τ compares to p-dimensional Hausdorff measure.


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