On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality
β Scribed by Bi Cheng Yang
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2006
- Tongue
- English
- Weight
- 150 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
In this article, we consider an operator L defined by the differential expression l l y s yy Y q q x y, we have proved a spectral expansion of L in terms of the principal functions, taking into account the spectral singularities. We have also investigated the convergence of the spectral expansion o
If A is a completely continuous self-adjoint operator on a Hilbert space, its eigen= values are the values of the inner product (Ax, x) at stationary points on the unit sphere. Gradient procedures can be used to determine eigenvectors and eigenvalues provided that certain regularity conditions hold