query: Prob. 9, Sec. 4.3 in Kreyszig's Functional Analysis Book: Proof of the Hahn Banach Theorem without Zorn's Lemma
positive_passages.docid: 96717
positive_passages.text: Hahn-Banach Theorem for separable spaces without Zorn's Lemma
negative_passages.docid: 134492
negative_passages.text: Proving that a Hölder space is a Banach space
negative_passages.docid: 66630
negative_passages.text: Proof of Mazurkiewicz theorem
negative_passages.docid: 90435
negative_passages.text: Prove that there exist linear functionals $L_1, L_2$ on $X$
negative_passages.docid: 19294
negative_passages.text: ‎If ‎‎$‎X$ is an infinite-dimensional Banach space and ‎‎$‎‎u‎\in ‎B(X)‎$ ,then $\bigcap_{v\in K(X)}\sigma(u+v) =\cdots$
negative_passages.docid: 62428
negative_passages.text: How to prove this inequality in Banach space?
negative_passages.docid: 104302
negative_passages.text: Proving Geometric Hahn-Banach Implies Analytic Hahn-Banach
negative_passages.docid: 128457
negative_passages.text: Show that $T$ is a compact operator
negative_passages.docid: 156855
negative_passages.text: separable Banach space with Banach-Mazur distances to $\ell_2^n$ bounded must be isomorphic to $\ell_2$?
negative_passages.docid: 7681
negative_passages.text: How can this theorem about weakly measurable functions on $\sigma$-finite measure spaces be deduced from the finite measure space case?
negative_passages.docid: 14550
negative_passages.text: Every Hilbert space has an orthonomal basis - using Zorn's Lemma
negative_passages.docid: 144656
negative_passages.text: Linear functional and a bounded norm
negative_passages.docid: 51302
negative_passages.text: Show that the operator norm is submultiplicative
negative_passages.docid: 104607
negative_passages.text: Hahn-Banach theorem, dual space
negative_passages.docid: 97454
negative_passages.text: Find the value of $\alpha-\beta$ if $g(x,y)=\alpha x+\beta y$ is a Hahn-Banach extension of $f$
negative_passages.docid: 136439
negative_passages.text: Where can I read the full proof of the Banach-Mazur theorem?
negative_passages.docid: 13086
negative_passages.text: Overview of basic facts about Cauchy functional equation