Results 31 to 40 of about 24,623 (305)
Let \({\mathcal B}\) be a Banach space, \(\sigma\) a \(C_ 0\)-group of isometries of \({\mathcal B}\) with generator \(H\), and \({\mathcal D}\subseteq D(H)\) a \(\sigma\)-invariant core of \(H\). Suppose \(K:{\mathcal D}\to {\mathcal B}\) is a dissipative operator satisfying \[ 1.\quad \| Ka\| \leq k_ 0(\| Ha\| \vee \| a\|),\quad a\in {\mathcal D}, \]
Batty, Charles J.K., Robinson, Derek W.
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Generalized Derivations with Commutativity and Anti-commutativity Conditions
Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Rehman, Nadeem-ur +3 more
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Shocks, superconvergence, and a stringy equivalence principle
We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on the shock ordering — in other words, coincident gravitational shocks ...
Murat Koloğlu +3 more
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Children Have the Capacity to Think Multiplicatively, as long as … [PDF]
Multiplicative thinking has been widely accepted as a critically important ‘big idea’ of mathematics and one which underpins much mathematical understanding beyond the primary years of schooling.
Chris Hurst
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COMMUTATIVITY THEOREMS FOR RINGS WITH CONSTRAINTS ON COMMUTATORS
Let $R$ be a left (resp. right) $s$-unital ring and $m$ be a positive integer. Suppose that for each $y$ in $R$ there exist $J(t)$, $g(t)$, $h(t)$ in $Z[t]$ such that $x^m[x,y]= g(y)[x,y^2f(y)]h(y)$ (resp. $[x,y]x^m= g(y)[x,y^2f(y)]h(y))$ for all $x$ in $R$. Then $R$ is commutative (and conversely).
Abujabal, H. A. S., Ashraf, Mohd.
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On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings
Let R be a ?-ring, and ?, ? be two automorphisms of R. An additive mapping d from a ?-ring R into itself is called a (?,?)-derivation on R if d(a?b) = d(a)? ?(b) + ?(a)?d(b), holds for all a,b ?R and ???. d is called strong commutativity preserving (SCP)
Baghdad Science Journal
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On generalized homoderivations of prime rings
Let $\mathscr{A}$ be a ring with its center $\mathscr{Z}(\mathscr{A}).$ An additive mapping $\xi\colon \mathscr{A}\to \mathscr{A}$ is called a homoderivation on $\mathscr{A}$ if $\forall\ a,b\in \mathscr{A}\colon\quad \xi(ab)=\xi(a)\xi(b)+\xi(a)b+a\xi(
N. Rehman +2 more
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Skew-Commuting Toeplitz Operators and Dual Toeplitz Operators on Bergman Spaces
We study the skew-commutativity of Toeplitz operators and dual Toeplitz operators on the Bergman space of the unit disk. For bounded harmonic symbols, we characterize when two Toeplitz operators are skew-commuting. For general bounded measurable symbols,
Caochuan Ma, Tong Guan, Jianxiang Dong
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Homotopical approach to quantum contextuality [PDF]
We consider the phenomenon of quantum mechanical contextuality, and specifically parity-based proofs thereof. Mermin’s square and star are representative examples.
Cihan Okay, Robert Raussendorf
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On commuting and semi-commuting positive operators [PDF]
Let K K be a positive compact operator on a Banach lattice. We prove that if either
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