Ferna´ndez, Absence of point spectrum for unitary operators, J. Differential Equations 244 (2008), no. 2, 229-241.M. A. Astaburuaga, O. Bourget, V. Corte´s and C. Ferna´ndez. Absence of point spectrum for unitary operators. J. Differential Equations 244(2): 229-241, ...
摘要: In this chapter we prove two properties of the spectrum of the unitary operator associated with an aperiodic non-singular automorphism, viz., that it is symmetric and fills the entire unit circle. We also discuss the spectrum of such an operator multiplied by a unitary function....
Operators which are similar to unitary operators with absolutely continuous spectrumIn recent years a series of papers [1]-[3] have beendevotedto clarifying the conditions under which a contraction operator T (II T II-~ 1) is similar to a unitary operator. In the paper of B. Nagy and C...
由于 \mathbf{R}_x 是半正定的,因此这样的解始终存在,但它不是唯一的:如果 \boldsymbol{\Phi} 是一个解,那么 \tilde{\Phi}=\boldsymbol{\Phi} \mathbf{U} 也是一个解,其中 U 是任意的幺正算子(arbitrary unitary operator)(即 \mathrm{UU}^{+}=\mathrm{I},I 是恒等算子)。 因此,(8) 中定义的...
Spectral mapping theorem of an abstract quantum walk Given two Hilbert spaces, H and K, we introduce an abstract unitary operator U on H and its discriminant T on K induced by a coisometry from H to K and a u... ESA Segawa - 《Quantum Information Processing》 被引量: 0发表: 2019年...
Linear resolvent growth of rank one perturbation of a unitary operator does not imply its similarity to a normal operator The main result of this paper is that for any unitary (selfadjoint) operatorU with non-trivial absolutely continuous part of the spectrum, there exists a r... Nikolai,Niko...
Solutions of the ncKdV equ... A Dimakis,F Müller-Hoissen - 《Physics Letters A》 被引量: 82发表: 2000年 Gauge invariance in Chern-Simons theory on a torus In the Chern-Simons gauge theory on a manifold T2脳R1 (two-torus脳time) the unitary operators, which induce large gauge ...
has a range containing all operators of rank at most two and satisfies⁎⁎σTS⁎(h0)=σφ(T)φ(S)⁎(k0) for all T,S∈B(H), then there exist two unitary operators U and V in B(H,K) such that Uh0=αk0 for some nonzero α...
In a unitary Banach algebra conditions are sought for an element, the spectrum of which is the singleton {1}, to be the identity of the algebra. Our main result is that this is true if the element is Abel bounded and doubly (N)-uniformly Abel bounded. This condition is fulfilled if ...
(T)(k0), (T, S is an element of L (H)) if and only if there exist a unitary operator U from H into K and a scalar alpha is an element of C such that Uh0 = alpha k0 and phi(T) = lambda UTU* for all T is an element of L(H), where lambda is a scalar of modulus ...