St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
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35 sonuçtan 1-3 arası sonuçlar
Sayfa 834
... perturbation , the pure point spectrum is stable only in degenerate situations . The Weyl - von Neumann theorem [ K ] on the stability of the essential spectrum un- der the compact perturbations implies that if the spectrum σ ( A ) of A ...
... perturbation , the pure point spectrum is stable only in degenerate situations . The Weyl - von Neumann theorem [ K ] on the stability of the essential spectrum un- der the compact perturbations implies that if the spectrum σ ( A ) of A ...
Sayfa 835
... PERTURBATIONS OF SELFADJOINT OPERATORS We denote by M ( R ) the Banach space of all complex Borel measures on R = RU { ∞ } such that the norm || م || = 1 π dμ ( t ) | 1 + t2 · ∞ + | μl ( { ∞ } ) is finite . We shall also use the ...
... PERTURBATIONS OF SELFADJOINT OPERATORS We denote by M ( R ) the Banach space of all complex Borel measures on R = RU { ∞ } such that the norm || م || = 1 π dμ ( t ) | 1 + t2 · ∞ + | μl ( { ∞ } ) is finite . We shall also use the ...
Sayfa 842
... perturbations . Here we prove that , in order to have only pure point spectrum under rank one perturbations , the operator must have quite a " thin " spectrum . We denote the spectrum of A by σ ( A ) . We say that a perturbation A + X ...
... perturbations . Here we prove that , in order to have only pure point spectrum under rank one perturbations , the operator must have quite a " thin " spectrum . We denote the spectrum of A by σ ( A ) . We say that a perturbation A + X ...
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American Mathematical Society analytic assume assumptions B₁ Banach algebra Beurling-Sobolev algebra boundary c₁ compact conformal mapping construct continuous convergence Corollary corresponding defined definition denote domain embedding English transl equation equivalent esk₁ estimate exists finite formula Fourier geodesic Hence Hilbert space homeomorphic homotopy implies inequality integral interpolation interval intrinsic metric inverse IP(Z kernel Lemma linear manifold mapping class groups Math Mathematics Subject Classification metric metric spaces mult N₁ nonselfadjoint norm obtain operator-valued function Petersburg polyhedron polynomial problem Proposition proved pure point r.i. space rank one perturbations relation respect scalar selfadjoint selfadjoint operator sequence singular spectrum solution spectral function spline subgroup Subsection subspace sufficiently symmetric operator theory unitary unitary operator upper bounded curvature vector field whence zero