Results 1 to 2 of 2

Thread: topology

  1. October 16th 2012, 08:00 AM #1
    chath
    chath is offline
    Newbie
    Joined
    Oct 2012
    From
    sri lanka
    Posts
    17

    topology

    Let X be a normed space.Show that the function f:X to Real numbers defined by f(x)=norm x is continuous on X.
    Follow Math Help Forum on Facebook and Google+
  2. October 21st 2012, 01:59 AM #2
    girdav
    girdav is offline
    Super Member girdav's Avatar
    Joined
    Jul 2009
    From
    Rouen, France
    Posts
    674
    Thanks
    32

    Re: topology

    Use |\lVert x\rVert-\lVert y\rVert|\leq \lVert x-y\rVert.
    Follow Math Help Forum on Facebook and Google+
« measure theory-Lebesgue measure | Countability problem »

Similar Math Help Forum Discussions

  1. Problem on product topology/standard topology on R^2.
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: October 17th 2012, 12:22 AM
  2. Topology: product, uniform, and box topology converging sequences
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: April 2nd 2012, 03:58 PM
  3. Order topology = discrete topology on a set?
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: August 6th 2011, 11:19 AM
  4. a topology such that closed sets form a topology
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: June 14th 2011, 04:43 AM
  5. Show quotient topology on [0,1] = usual topology on [0,1]
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: November 5th 2010, 04:44 PM

Search Tags


/mathhelpforum @mathhelpforum