Results 21 to 30 of about 135 (51)
On Hilbert-Schmidt compatibility
, 2013 Guided by important examples of differential operators, we obtain sufficient conditions for Hilbert-Schmidt compatibility of operators and apply these conditions in spectral perturbation theory. Mathematics subject classification (2010): 47A55, 47B10.
D. Potapov, A. Skripka, F. Sukochev
semanticscholar +1 more source
A theorem on “localized” self‐adjointness of Shrödinger operators with ‐potentials
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 3, Page 545-552, 1982., 1982 We prove a result which concludes the self‐adjointness of a Schrödinger operator from the self‐adjointness of the associated “localized” Schrödinger operators having ‐Potentials.
Hans L. Cycon
wiley +1 more source
Absolute continuity and hyponormal operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 321-335, 1981., 1981 Let T be a completely hyponormal operator, with the rectangular representation T = A + iB, on a separable Hilbert space. If 0 is not an eigenvalue of T* then T also has a polar factorization T = UP, with U unitary. It is known that A, B and U are all absolutely continuous operators.
C. R. Putnam
wiley +1 more source
Structure of the tree component in an area of riparian forest in the Piratini River Basin, Rio Grande do Sul, Brazil [PDF]
Biotemas, 2009 The vegetation studied belongs to the Pampa biome. The vegetation of this region is described as Open Arboreal Savanna because it presents a herb stratum and an arboreal stratum with a gallery forest.
Luciano Rodrigues Soares +1 more
doaj
Hyponormality of finite rank perturbations of normal operators
, 2018 Let T be an arbitrary finite rank perturbation of a normal operator N acting on a separable, infinite dimensional, complex Hilbert space H . It is proved that the hyponormality and normality of T are equivalent.
I. Jung, Eun-young Lee, M. Seo
semanticscholar +1 more source
Inequalities for eigenvalues of compactly perturbed unitary operators
, 2017 We consider the operator A = U +K , where U is a unitary operator and K is a compact one. An eigenvalue λ of A is said to be a non-unitary one, if |λ | = 1 . We derive inequalities for sums of absolute values of the non-unitary eigenvalues.
M. Gil'
semanticscholar +1 more source
Demonstratio MathematicaIf T1{{\mathbb{T}}}_{1} and T2{{\mathbb{T}}}_{2} are commuting dd-tuples of Hilbert space operators in B(ℋ)dB{\left({\mathcal{ {\mathcal H} }})}^{d} such that (T1*⊗I+I⊗T2*,T1⊗I+I⊗T2)\left({{\mathbb{T}}}_{1}^{* }\otimes I+I\otimes {{\mathbb{T}}}_{2}^{* },{
Duggal Bhagwati Prashad, Kim In Hyoun
doaj +1 more source
Essential spectra of some matrix operators by means of measures of weak noncompactness
, 2014 In this paper, we give some results concerning stability in the Fredholm theory via the concept of measures of weak noncompactness. These results are exploited to investigate the essential spectra of some matrix operators on Banach spaces.
Boulbeba Abdelmoumen
semanticscholar +1 more source
Rank-one perturbations of normal operators and hyponormality
, 2014 Let T = N + u⊗ v be a rank-one perturbation of a normal operator N acting on a separable, infinite dimensional, complex Hilbert space H . It is proved that the hyponormality of T is equivalent to the normality of T .
I. Jung, Eun-young Lee
semanticscholar +1 more source
Trace inequalities and spectral shift
, 2009 We derive monotonicity and convexity inequalities for traces of operator functions defined on self-adjoint elements of a semi-finite von Neumann algebra.
A. Skripka
semanticscholar +1 more source