Results 11 to 20 of about 9,623 (179)

Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols

Journal of Mathematics
A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it.
Aissa Bouhali, Issam Louhichi, Abdelrahman Yousef   +2 more
doaj   +2 more sources

Commutant Lifting for Commuting Row Contractions [PDF]

Bulletin of the London Mathematical Society, 2009
If $T= \big[ T_1 ... T_n\big]$ is a row contraction with commuting entries, and the Arveson dilation is $\tilde T= \big[ \tilde T_1 ... \tilde T_n\big]$, then any operator $X$ commuting with each $T_i$ dilates to an operator $Z$ of the same norm which ...
Davidson, Kenneth R., Le, Trieu
core   +2 more sources

Commutative–non-commutative dualities [PDF]

Canadian Journal of Physics, 2020
We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of the exact renormalization group equation (ERG). We apply this to the simple case of the Landau problem and then generalize it to the free and interacting non-canonical ...
Scholtz, F.G., Williams, P.H., Kriel, J.N.   +2 more
openaire   +2 more sources

Semi-commutations and Partial commutations [PDF]

RAIRO - Theoretical Informatics and Applications, 2000
Summary: The aim of this paper is to show that a semi-commutation function can be expressed as the compound of a sequential transformation, a partial commutation function, and the reverse transformation. Moreover, we give a necessary and sufficient condition for the image of a regular language to be computed by the compound of two sequential functions ...
Clerbout, M., Roos, Y., Ryl, Isabelle
openaire   +2 more sources

Central commutators [PDF]

Bulletin of the Australian Mathematical Society, 1984
We give examples of finite groups of odd prime power order in which the commutators lying in the centre do not generate the intersection of the centre and the commutator subgroup.
Caranti A, SCOPPOLA, CARLO MARIA
openaire   +4 more sources

Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations

Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2436-2490, December 2023., 2023
Abstract Let X$X$ be a smooth, separated, geometrically connected scheme defined over a number field K$K$ and {ρλ:π1(X)→GLn(Eλ)}λ$\lbrace \rho _\lambda :\pi _1(X)\rightarrow \mathrm{GL}_n(E_\lambda )\rbrace _\lambda$ a system of semisimple λ$\lambda$‐adic representations of the étale fundamental group of X$X$ such that for each closed point x$x$ of X$X$
Chun Yin Hui
wiley   +1 more source

Monodromy of four‐dimensional irreducible compatible systems of Q$\mathbb {Q}$

Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1773-1790, August 2023., 2023
Abstract Let F$F$ be a totally real field and n⩽4$n\leqslant 4$ a natural number. We study the monodromy groups of any n$n$‐dimensional strictly compatible system {ρλ}λ$\lbrace \rho _\lambda \rbrace _\lambda$ of λ$\lambda$‐adic representations of F$F$ with distinct Hodge–Tate numbers such that ρλ0$\rho _{\lambda _0}$ is irreducible for some λ0$\lambda ...
Chun Yin Hui
wiley   +1 more source

Hecke algebras and the Schlichting completion for discrete quantum groups

Journal of the London Mathematical Society, Volume 107, Issue 3, Page 843-885, March 2023., 2023
Abstract We introduce Hecke algebras associated to discrete quantum groups with commensurated quantum subgroups. We study their modular properties and the associated Hecke operators. In order to investigate their analytic properties we adapt the construction of the Schlichting completion to the quantum setting, thus obtaining locally compact quantum ...
Adam Skalski, Roland Vergnioux, Christian Voigt   +2 more
wiley   +1 more source

On the Grothendieck–Serre conjecture for classical groups

Journal of the London Mathematical Society, Volume 106, Issue 4, Page 2884-2926, December 2022., 2022
Abstract We prove some new cases of the Grothendieck–Serre conjecture for classical groups. This is based on a new construction of the Gersten–Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue maps; the complex is shown to be exact when the ring is of dimension ⩽2$\leqslant 2$ (or ⩽
Eva Bayer‐Fluckiger, Uriya A. First, Raman Parimala   +2 more
wiley   +1 more source

Operators with commutative commutants.

Michigan Mathematical Journal, 1988
Given operators M and N on a Hilbert space H, suppose that M (resp. N) is the direct sum of k (resp. n) copies of an operator A having a commutative commutant. Suppose further that m and k are countable cardinalities (or, any cardinalities if H is separable) and that N is a quasi-affine transform of M (i.e., \(NX=XM\) for some injective operator X with
Radjabalipour, M., Radjavi, H.
openaire   +3 more sources