Clifford--Littlewood-Eckmann groups

Nalbantoğlu, Berrin Anıl


Compact-like operators in lattice-normed spaces
Aydın, Abdullah; Emel’yanov, Eduard; Department of Mathematics (2017)
Let $(X,p,E)$ and $(Y,m,F)$ be two lattice-normed spaces. A linear operator $T:Xto Y$ is said to be $p$-compact if, for any $p$-bounded net $x_alpha$ in X, the net $Tx_alpha$ has a $p$-convergent subnet in Y. That is, if $x_alpha$ is a net in X such that there is a $ein E_+$ satisfying $p(x_alpha) ≤ e$ for all $alpha$, then there exists a subnet $x_{alpha_beta}$ and $y_in Y$ such that $m(Tx_{alpha_beta} −y) xrightarrow{o}0$ in $F$. A linear operator $T:Xto Y$ is called $p$-continuous if $p(x_alpha) xrightar...
Sinha, Dev; Walter, Ben (2013-02-01)
We develop a new framework which resolves the homotopy periods problem. We start with integer-valued homotopy periods defined explicitly from the classic bar construction. We then work rationally, where we use the Lie coalgebraic bar construction to get a sharp model for Hom(pi*X,Q) for simply connected X. We establish geometric interpretations of these homotopy periods, to go along with the good formal properties coming from the Koszul-Moore duality framework. We give calculations, applications, and relati...
Discrete symmetries and nonlocal reductions
GÜRSES, METİN; Pekcan, Asli; Zheltukhın, Kostyantyn (Elsevier BV, 2020-01-31)
We show that nonlocal reductions of systems of integrable nonlinear partial differential equations are the special discrete symmetry transformations.
Compact-like operators in lattice-nonmed. spaces
AYDIN, ABDULLAH; Emelyanov, Eduard; ERKURŞUN ÖZCAN, NAZİFE; Marabeh, M. A. A. (2018-04-01)
A linear operator T between two lattice-normed spaces is said to be p-compact if, for any p-bounded net x(alpha),,the net Tx(alpha) has a p-convergent subnet. p-Compact operators generalize several known classes of operators such as compact, weakly compact, order weakly compact, AM-compact operators, etc. Similar to M-weakly and L-weakly compact operatois, we define p-M-weakly and p-L-weakly compact operators and study some of their properties. We also study up-continuous and up"compact operators between la...
Compact operators between some nuclear Köthe spaces.
Başdaş, H. Ender; Department of Mathematics (1983)
Citation Formats
B. A. Nalbantoğlu, “Clifford--Littlewood-Eckmann groups,” Middle East Technical University, 1997.