Abstract We establish new results on the ‐approximation property for Banach operator ideal of unconditionally p ‐compact operators in case . As a consequence our results, we provide negative answer problem posed by Kim. Namely, implies neither nor (classical) approximation property; and property. Here, denotes Sinha Karn also show all that there is closed subspace fails

We study the asymptotic behaviour, as $p\to 1^+$ , of solutions following inhomogeneous Robin boundary value problem: P \begin{equation*} \begin{cases} \displaystyle -\Delta_p u_p = f & \text{ in }\Omega,\\ |\nabla u_p|^{p-2}\nabla u_p\cdot \nu +\lambda |u_p|^{p-2}u_p g on } \partial\Omega, \end{cases} \end{equation*} where $\Omega$ is a bounded domain $\mathbb {R}^{N}$ with sufficiently sm...

{sl let $[n]={1,dots, n}$ be colored in $k$ colors. a rainbow ap$(k)$ in $[n]$ is a $k$ term arithmetic progression whose elements have different colors. conlon, jungi'{c} and radoiv{c}i'{c} cite{conlon} prove that there exists an equinumerous 4-coloring of $[4n]$ which is rainbow ap(4) free, when $n$ is even. based on their construction, we show that such a coloring of ...

2-(methylamino) pyridine (hmap) reacts with meli in thf and generates the lithium salt (limap). further reaction of [cu(tmeds)2][cucl2] (tmeda=tetramethylethylenediamine) with one equivalent of this ligand in thf leads to the formation of a yellow dimeric cu(i) complex, [cu(map)]2. analytical data, molecular weight, and magnetic susceptibility measurements, confirm the formula [cu(map)]2 .

purpose the 1-repetition maximum (1-rm) test is the gold standard test for evaluating maximal dynamic strength of groups of muscles. however, safety of actual 1-rm testing is questionable in clinical situations such as type 2 diabetes (t2d), where an estimated 1-rm test is preferred. it is unclear if acceptable test retest reliability exists for the estimated 1-rm test in middle aged t2d patien...

Abstract We study the mod p r {p^{r}} Milnor K -groups of p -adically complete and -henselian rings, establishing in particular a Nesterenko–Suslin-style description terms range syntomic cohomology. In case smooth schemes over discrete valuation rings we prove Gersten conjecture for -the...

introduction: ischemia leads to loss of neurons by apoptosis in specific brain regions, especially in the hippocampus. the purpose of this study was investigating the effects of exercise preconditioning on expression of bax, bcl-2, and caspase-3 proteins in hippocampal ca1 neurons after induction of cerebral ischemia. methods: male rats weighing 260-300 g were randomly allocated into three grou...