Abstract
We consider difference quotient operators in de Branges Hilbert spaces of entire functions. We give a description of the spectrum and a formula for the spectral subspaces. The question of completeness of the system of eigenvectors and generalized eigenvectors is discussed. For certain cases the s-numbers and the Schmidt-representation of the operator under discussion is explicitly determined.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Kaltenbäck, M., Woracek, H. (2006). Schmidt-Representation of Difference Quotient Operators. In: Dritschel, M.A. (eds) The Extended Field of Operator Theory. Operator Theory: Advances and Applications, vol 171. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7980-3_8
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DOI: https://doi.org/10.1007/978-3-7643-7980-3_8
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