http://www.bing.com:80/search?q=Separable+State.+Example+QubitSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Separable+State.+Example+QubitCopyright © 2026 Microsoft. All rights reserved. These XML results may not be used, reproduced or transmitted in any manner or for any purpose other than rendering Bing results within an RSS aggregator for your personal, non-commercial use. Any other use of these results requires express written permission from Microsoft Corporation. By accessing this web page or using these results in any manner whatsoever, you agree to be bound by the foregoing restrictions.https://math.stackexchange.com/questions/660418/why-is-ell-infty-mathbbn-not-separableWhy is $\ell^\infty (\mathbb {N})$ not separable? Ask Question Asked 12 years, 2 months ago Modified 1 year, 7 months agoSun, 05 Apr 2026 12:44:00 GMThttps://math.stackexchange.com/questions/3534545/x-is-separable-then-x-is-separable-proof-explanation$X^*$ is separable then $X$ is separable [Proof explanation] Ask Question Asked 6 years, 2 months ago Modified 6 years, 2 months agoMon, 06 Apr 2026 00:33:00 GMThttps://math.stackexchange.com/questions/1331321/cx-is-separable-when-x-is-compact$X$ is a compact metric space, then $C(X)$ is separable, where $C(X)$ denotes the space of continuous functions on $X$. How to prove it? And if $X$ is just a compact ...Fri, 03 Apr 2026 16:07:00 GMThttps://math.stackexchange.com/questions/516886/prove-that-a-subspace-of-a-separable-and-metric-space-is-itself-separableProve that a subspace of a separable and metric space is itself separable Ask Question Asked 12 years, 5 months ago Modified 5 months agoTue, 31 Mar 2026 20:36:00 GMThttps://math.stackexchange.com/questions/2388541/proving-that-a-banach-space-is-separable-if-its-dual-is-separable$ \mathbb R $ is separable normed space. Is the set of irrational numbers separable in the subspace topology?Mon, 30 Mar 2026 00:06:00 GMThttps://math.stackexchange.com/questions/1064775/a-reflexive-banach-space-is-separable-iff-its-dual-is-separableA reflexive Banach space is separable iff its dual is separable Ask Question Asked 11 years, 3 months ago Modified 11 years, 3 months agoSat, 04 Apr 2026 18:22:00 GMThttps://math.stackexchange.com/questions/2547487/every-subspace-of-a-separable-metric-space-is-separableIIf it were right it would apply to every separable space because you have not used any of the metric properties. But a separable non-metrizable space can have a non-separable subspace.Fri, 03 Apr 2026 02:03:00 GMThttps://math.stackexchange.com/questions/2470061/separable-banach-spaces-vs-non-separable-onesI have just learned about separable Banach spaces. The definition of a separable space that I know is that a space is separable if you can find a countable dense subset of it. I would be appreciate...Mon, 06 Apr 2026 09:44:00 GMThttps://math.stackexchange.com/questions/3857141/definition-of-separable-spaceThe standard definition (e.g. from wikipedia) that a separable topological space $X$ contains a countable, dense subset, or equivalently that there is a sequence $(x ...Tue, 31 Mar 2026 15:28:00 GMThttps://math.stackexchange.com/questions/63793/motivation-for-the-term-separable-in-topologyA topological space is called separable if contains a countable dense subset. This is a standard terminology, but I find it hard to associate the term to its definition. What is the motivation for ...Wed, 01 Apr 2026 05:04:00 GMT