• Title/Summary/Keyword: RhoB

Search Result 509, Processing Time 0.035 seconds

ON A CLASS OF WEAKLY CONTINUOUS OPERATORS

  • Rho, Jae-Chul
    • Bulletin of the Korean Mathematical Society
    • /
    • v.20 no.2
    • /
    • pp.87-93
    • /
    • 1983
  • Let X and Y be normed linear spaces. An operator T defined on X with the range in Y is continuous in the sense that if a sequence {x$_{n}$} in X converges to x for the weak topology .sigma.(X.X') then {Tx$_{n}$} converges to Tx for the norm topology in Y. We shall denote the class of such operators by WC(X, Y). For example, if T is a compact operator then T.mem.WC(X, Y). In this note we discuss relationships between WC(X, Y) and the class of weakly of bounded linear operators B(X, Y). In the last section, we will consider some characters for an operator in WC(X, Y).).

  • PDF

DISTANCE-PRESERVING MAPPINGS ON RESTRICTED DOMAINS

  • Jung, Soon-Mo;Lee, Ki-Suk
    • The Pure and Applied Mathematics
    • /
    • v.10 no.3
    • /
    • pp.193-198
    • /
    • 2003
  • Let X and Y be n-dimensional Euclidean spaces with $n\;{\geq}\;3$. In this paper, we generalize a classical theorem of Bookman and Quarles by proving that if a mapping, from a half space of X into Y, preserves a distance $\rho$, then the restriction of f to a subset of the half space is an isometry.

  • PDF

Synthesis of Novel 9-Fluoroanthracycline Derivatives

  • Rho, Young S.;박시호;Kim, Sun Y.;조인호;이철현;정채준;Kang, Heun S.
    • Bulletin of the Korean Chemical Society
    • /
    • v.19 no.1
    • /
    • pp.74-78
    • /
    • 1998
  • Synthesis of novel 9-fluoroanthracyclines carrying L-fucose as a sugar component is described. Compound 3 containing a fluorine at the C-9 position was synthesized from an epoxide 2 and HF/Pyr (7 : 3). Bromination and hydrolysis of compound 3 resulted in synthesis of an aglycone, 9-fluoroanthracyclinone 6. The α-(1b) and β -anomers (1a) of the final product were obtained in high yields by a coupling reaction with the L-fucose.