browser: Start moving application_lifetime.h functions into chrome namespace.

chrome/browser/app_controller_mac.mm

Index: chrome/browser/app_controller_mac.mm
diff --git a/chrome/browser/app_controller_mac.mm b/chrome/browser/app_controller_mac.mm
index b5d026d21c506f1641c336b9c369d36b0441bbd1..81669dac95a33c8ad851bb1b50c90e1e71230e64 100644
--- a/chrome/browser/app_controller_mac.mm
+++ b/chrome/browser/app_controller_mac.mm
@@ -355,7 +355,7 @@ void RecordLastRunAppBundlePath() {
 
   // Tell BrowserList not to keep the browser process alive. Once all the
   // browsers get dealloc'd, it will stop the RunLoop and fall back into main().
-  browser::EndKeepAlive();
+  chrome::EndKeepAlive();
 
   [self unregisterEventHandlers];
 }
@@ -572,7 +572,7 @@ void RecordLastRunAppBundlePath() {
 - (void)applicationDidFinishLaunching:(NSNotification*)notify {
   // Notify BrowserList to keep the application running so it doesn't go away
   // when all the browser windows get closed.
-  browser::StartKeepAlive();
+  chrome::StartKeepAlive();
 
   [self setUpdateCheckInterval];