Hyperinvariant Subspace Problem for Some Classes of Operators
Sign Up to like & getrecommendations! Published in 2018 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-018-1230-9
Abstract: An n-normal operator may be defined as an $$n \times n$$n×n operator matrix with entries that are mutually commuting normal operators and an operator $$T \in \mathcal {B(H)}$$T∈B(H) is quasi-nM-hyponormal (for $$n \in \mathbb {N}$$n∈N)… read more here.
Keywords: hyperinvariant subspace; operator matrix; subspace problem;
The two-mass contribution to the three-loop gluonic operator matrix elementAgg,Q(3)
Sign Up to like & getrecommendations! Published in 2018 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2018.04.023
Abstract: Abstract We calculate the two-mass QCD contributions to the massive operator matrix element A g g , Q at O ( α s 3 ) in analytic form in Mellin N- and z-space, maintaining the… read more here.
Keywords: mass ratio; operator matrix; mass; two mass ... See more keywords
The three-loop polarized pure singlet operator matrix element with two different masses
Sign Up to like & getrecommendations! Published in 2020 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2020.114916
Abstract: Abstract We present the two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the polarized structure function g 1 ( x… read more here.
Keywords: pure singlet; operator matrix; singlet operator; matrix element ... See more keywords
On the criteria of a measure of non-strict cosingularity in the description of spectral properties of operator matrix
Sign Up to like & getrecommendations! Published in 2024 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2024-2029
Abstract: Abstract In this paper, we are interested to formulate new assumptions on the entries of an unbounded 3 × 3 3\times 3 block operator matrix defined with a maximal domain on the product of Banach… read more here.
Keywords: non strict; strict cosingularity; measure non; operator matrix ... See more keywords
The p-Drazin inverse for operator matrix over Banach algebras
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DOI: 10.2298/fil2014597c
Abstract: An element a in a Banach algebra A has p-Drazin inverse provided that there exists b ? comm(a) such that b = b2a,ak-ak+1b?J(A) for some k ? N. In this paper, we present new conditions… read more here.
Keywords: drazin inverse; banach; operator matrix;
Power Bounds for the Numerical Radius of the Off-Diagonal 2 × 2 Operator Matrix
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DOI: 10.3390/sym16091199
Abstract: In this paper, we employ a generalization of the Boas–Bellman inequality for inner products, as developed by Mitrinović–Pečarić–Fink, to derive several upper bounds for the 2p-th power with p≥1 of the numerical radius of the… read more here.
Keywords: numerical radius; operator matrix; radius diagonal; power ... See more keywords