$|x-y|_{L^2}^2geq |x|_{L^2}^2-|y|_{L^2}^2$?











up vote
-1
down vote

favorite












Is this true?
begin{equation}
|x-y|_{L^2(Omega)}^2geq |x|_{L^2(Omega)}^2-|y|_{L^2(Omega)}^2
end{equation}










share|cite|improve this question


















  • 1




    Is $(x-y)^2ge x^2-y^2$?
    – Lord Shark the Unknown
    yesterday






  • 1




    You have already been told in your previous post that the inequality does not hold even for real numbers. Why are you posting this question now?.
    – Kavi Rama Murthy
    yesterday










  • @maxmilgram I think you didn't read the question correctly.
    – Kavi Rama Murthy
    yesterday










  • Thank you I got it now. $(3-4)^2>0$ but $3^2-4^2<0$.
    – CuriousCat
    yesterday










  • @kavi rama murthy you are absolutely right!
    – maxmilgram
    yesterday















up vote
-1
down vote

favorite












Is this true?
begin{equation}
|x-y|_{L^2(Omega)}^2geq |x|_{L^2(Omega)}^2-|y|_{L^2(Omega)}^2
end{equation}










share|cite|improve this question


















  • 1




    Is $(x-y)^2ge x^2-y^2$?
    – Lord Shark the Unknown
    yesterday






  • 1




    You have already been told in your previous post that the inequality does not hold even for real numbers. Why are you posting this question now?.
    – Kavi Rama Murthy
    yesterday










  • @maxmilgram I think you didn't read the question correctly.
    – Kavi Rama Murthy
    yesterday










  • Thank you I got it now. $(3-4)^2>0$ but $3^2-4^2<0$.
    – CuriousCat
    yesterday










  • @kavi rama murthy you are absolutely right!
    – maxmilgram
    yesterday













up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











Is this true?
begin{equation}
|x-y|_{L^2(Omega)}^2geq |x|_{L^2(Omega)}^2-|y|_{L^2(Omega)}^2
end{equation}










share|cite|improve this question













Is this true?
begin{equation}
|x-y|_{L^2(Omega)}^2geq |x|_{L^2(Omega)}^2-|y|_{L^2(Omega)}^2
end{equation}







inequality norm






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked yesterday









CuriousCat

342




342








  • 1




    Is $(x-y)^2ge x^2-y^2$?
    – Lord Shark the Unknown
    yesterday






  • 1




    You have already been told in your previous post that the inequality does not hold even for real numbers. Why are you posting this question now?.
    – Kavi Rama Murthy
    yesterday










  • @maxmilgram I think you didn't read the question correctly.
    – Kavi Rama Murthy
    yesterday










  • Thank you I got it now. $(3-4)^2>0$ but $3^2-4^2<0$.
    – CuriousCat
    yesterday










  • @kavi rama murthy you are absolutely right!
    – maxmilgram
    yesterday














  • 1




    Is $(x-y)^2ge x^2-y^2$?
    – Lord Shark the Unknown
    yesterday






  • 1




    You have already been told in your previous post that the inequality does not hold even for real numbers. Why are you posting this question now?.
    – Kavi Rama Murthy
    yesterday










  • @maxmilgram I think you didn't read the question correctly.
    – Kavi Rama Murthy
    yesterday










  • Thank you I got it now. $(3-4)^2>0$ but $3^2-4^2<0$.
    – CuriousCat
    yesterday










  • @kavi rama murthy you are absolutely right!
    – maxmilgram
    yesterday








1




1




Is $(x-y)^2ge x^2-y^2$?
– Lord Shark the Unknown
yesterday




Is $(x-y)^2ge x^2-y^2$?
– Lord Shark the Unknown
yesterday




1




1




You have already been told in your previous post that the inequality does not hold even for real numbers. Why are you posting this question now?.
– Kavi Rama Murthy
yesterday




You have already been told in your previous post that the inequality does not hold even for real numbers. Why are you posting this question now?.
– Kavi Rama Murthy
yesterday












@maxmilgram I think you didn't read the question correctly.
– Kavi Rama Murthy
yesterday




@maxmilgram I think you didn't read the question correctly.
– Kavi Rama Murthy
yesterday












Thank you I got it now. $(3-4)^2>0$ but $3^2-4^2<0$.
– CuriousCat
yesterday




Thank you I got it now. $(3-4)^2>0$ but $3^2-4^2<0$.
– CuriousCat
yesterday












@kavi rama murthy you are absolutely right!
– maxmilgram
yesterday




@kavi rama murthy you are absolutely right!
– maxmilgram
yesterday















active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














 

draft saved


draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3000844%2fx-y-l22-geq-x-l22-y-l22%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes
















 

draft saved


draft discarded



















































 


draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3000844%2fx-y-l22-geq-x-l22-y-l22%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Le Mesnil-Réaume

Ida-Boy-Ed-Garten

web3.py web3.isConnected() returns false always