Tag: banach-spaces

70 Norms of Commutators 2010-06-07T12:53:54.363

59 2, 3, and 4 (a possible fixed point result ?) 2010-03-15T13:26:45.170

41 Absolute value inequality for complex numbers 2014-05-20T11:48:15.043

37 Example of a compact set that isn't the spectrum of an operator 2011-05-29T08:27:39.260

33 tr(ab)=tr(ba), part 2. 2011-09-28T06:14:08.320

30 Isometric embeddings of finite subsets of $\ell_2$ into infinite-dimensional Banach spaces 2015-10-18T00:44:32.643

29 Are there non-reflexive vector spaces isomorphic to their bi-dual? 2010-10-28T15:43:07.190

29 Is $L^2(\mathbb R)$ homeomorphic to $L^1(\mathbb R)$? 2017-05-08T14:41:06.427

28 When is a Banach space a Hilbert space? 2010-01-08T21:46:10.617

28 What theorem constructs an initial object for this category? (Formerly "Integrability by abstract nonsense") 2010-04-30T22:03:48.743

27 Is a normed space which is homeomorphic to a Banach space complete? 2016-12-07T13:55:28.307

26 Surjectivity of operators on $\ell^\infty$ 2012-07-03T20:26:26.440

26 Do there exist infinite-dimensional Banach spaces in which every bounded linear operator attains its norm? 2016-02-27T18:53:28.057

24 Can $L^p(\mathbb{R})$ and $ L^q(\mathbb{R})$ be isomorphic? 2011-11-01T13:37:28.990

23 Decomposable Banach Spaces 2011-08-08T00:04:36.467

20 Can you tell whether a space is Banach from the unit ball? 2011-02-28T17:35:35.157

20 Who proved that $l^1$ and $L^1[0,1]$ are not isomorphic? 2016-05-03T17:04:49.797

19 Subspace of $L^2$ that lies in $L^\infty$ 2011-01-19T12:50:28.650

19 Meager subspaces of a Banach space and weak-* convergence 2013-11-12T17:36:24.443

19 Unique predual of a Banach space 2016-11-01T16:40:51.537

18 Isomorphisms of Banach Spaces 2009-10-20T05:50:22.653

17 Unbounded operator bounded in a dense subset 2010-06-16T17:17:56.440

17 Banach spaces with few linear operators ? 2010-07-05T20:22:33.127

17 Large almost equilateral sets in finite-dimensional Banach spaces 2014-11-26T18:15:53.030

16 What are the right categories of finite-dimensional Banach spaces? 2009-11-19T15:38:50.977

16 Brownian motion and spheres 2010-03-22T14:54:00.517

16 Dual of the Ultraproduct of a Banach Space 2011-01-25T18:46:03.780

16 Infinite convex combinations in a Banach space 2011-02-21T10:19:49.753

16 Is the space of Hankel operators complemented in B(H)? 2011-11-16T03:10:10.927

16 Banach-Mazur applied to a Hilbert space 2011-12-05T18:40:39.963

15 Idiosyncratic characterizations of $\ell^p$, for $p\not=1,2,\infty$ 2010-12-13T06:40:07.677

15 Lipschitz Homeomorphisms Between Spheres of N-dimensional Spaces 2011-04-03T11:27:19.267

15 A separable Banach space and a non-separable Banach space having the same dual space? 2011-10-06T18:40:43.370

15 A natural center of a convex weakly compact set in Banach space 2012-06-14T11:56:13.370

15 $(1+\epsilon)$-injective Banach spaces, complex scalars 2013-06-02T23:32:06.700

15 An open problem in convex geometry 2014-01-07T11:15:01.280

15 Operator norms of circulant matrices 2014-05-17T02:21:36.160

15 $C^*$-algebra generated by those operators that are bounded on every $\ell_p$ 2015-01-01T19:45:38.013

15 Ultraweak topology on B(X): Is the map X\otimes X* -> B(X)* isometric? 2015-02-25T19:46:01.160

15 Are "most" operators on an infinite-dimensional complex Banach space "diagonalizable"? 2015-04-08T17:09:50.920

15 Nonseparable Hilbert spaces 2016-02-06T23:45:17.560

14 ODE properties true in finite dimension but not in Banach spaces of infinite dimension 2015-01-11T10:56:40.953

14 Generalizing the Mazur-Ulam theorem to convex sets with empty interior in Banach spaces 2015-12-08T17:55:43.047

14 Have there been further developments on this scheme for polytope approximations to the unit ball of $\ell_p^n$? 2017-08-27T16:21:37.503

13 Finite Rank Commutators 2010-01-29T18:35:30.623

13 Usefulness of Frechet versus Gateaux differentiability or something in between. 2010-04-22T20:56:08.017

13 Can a self-adjoint operator have a continuous set of eigenvalues? 2010-09-25T01:41:11.150

13 "Orthogonal complement" of a subspace of a Banach space 2010-12-01T05:51:24.320

13 What is an isomorphism of Banach spaces? 2011-11-10T08:11:17.780

13 Intersection of complemented subspaces of a Banach space 2012-01-12T14:29:49.810

13 Does $X$ embed in $Y$, and $Y$ embed in $X$, always imply that $X$ isomorphic onto $Y$? 2012-06-16T09:08:46.943

13 Second duals of Grothendieck spaces 2013-11-19T12:01:39.997

12 Subspaces of finite codimension in Banach spaces 2010-07-07T10:15:31.213

12 Point on a line nearest a point in Banach space 2011-01-23T09:09:47.747

12 What is the "positive part" of the unit ball in $M_n(R)$ ? 2012-02-29T08:20:21.893

12 How hard (P, NP, NP-hard) is it to compute Schur norms of matrices (as multipliers)? 2013-10-26T03:08:37.287

12 Quotients of $\ell_\infty$ by separable subspaces 2013-11-15T07:50:52.160

12 When is the closed unit ball in a smaller Banach space closed in a larger Banach space? 2015-11-22T07:30:51.977

12 Weak*-closure of finite rank operators on dual space 2016-02-12T10:06:10.737

12 Kolmogorov width for cartesian products 2016-03-08T11:29:19.810

12 Do non-stable Banach spaces exist? 2016-03-31T14:55:18.323

12 Spaces locally modelled on $L^2(\mathbb R)$ 2017-05-10T09:26:09.177

12 Open bilinear maps that are not uniformly open 2017-05-24T21:10:58.530

12 The geometry of $\mathbb{R}^n$ 2018-02-15T20:58:47.577

12 Trace-class operator satisfies $\sum |\lambda_n|<\infty$? 2018-02-18T22:17:02.277

11 Continuous automorphism groups of normed vector spaces? 2010-01-31T22:57:08.057

11 Approximating operators on Banach spaces by bounded operators on a proper dense subspace 2010-07-02T21:20:15.517

11 Banach-Mazur distance between $\ell^p$-norms 2010-09-16T09:47:30.810

11 Balls in spaces of operators 2011-10-08T12:24:50.660

11 Do ultrapowers of classical Banach spaces have unconditional bases? 2012-05-17T20:12:26.593

11 Subspaces of $l_p$ and Banach-Mazur distance 2013-01-13T17:15:41.893

11 B(H) as a direct sum of a closed two sided ideal and a subalgebra 2013-03-11T22:45:02.177

11 What (classes of) Banach spaces are known to have Schauder basis? 2013-06-25T20:08:13.093

11 Containment of $c_0$ 2014-01-08T17:50:03.447

11 Embeddings of finitely generated groups into uniformly convex Banach spaces 2014-08-19T22:11:44.610

11 Banach space modulo a one-dimensional subspace =? 2014-12-01T13:39:48.087

11 Is there a simple direct proof of the Open Mapping Theorem from the Uniform Boundedness Theorem? 2014-12-12T18:11:15.760

11 Are $L^\infty(\Bbb R)$ and $L^2(\Bbb R)$ homeomorphic? 2015-02-09T22:30:39.347

11 Between Tietze's and Dugundji's Extension Theorems 2015-04-01T17:04:36.220

11 Is there a Gelfand-Naimark-like characterization of group algebras $L_1(G)$? 2015-09-15T15:36:28.233

11 Existence of closed operators with arbitrary dense domain of a given banach space 2015-09-27T11:17:21.617

11 Is $\ell_p$ $(1<p<\infty)$ finitely isometrically distortable? 2015-12-27T09:03:53.807

11 Complemented subspaces in the dual of James' space $J$ 2016-01-14T16:33:21.050

11 For a Banach space $X$, when is $X$ homeomorphic to $X \setminus A$? 2017-02-03T21:22:25.977

11 Spectra on different spaces 2017-02-18T10:50:57.737

11 Banach spaces with $d(X,Y) = 1$ 2017-11-22T10:43:00.213

10 Asymptotic non-distortion of the separable Hilbert space 2010-01-20T15:41:56.007

10 Radii and centers in Banach spaces 2010-04-07T09:32:44.973

10 Nonseparable Hilbert spaces as quotients of spaces of bounded functions 2010-05-02T02:37:22.780

10 volume of the unit ball of the Banach space $\ell_1^n\otimes_{\epsilon}\ell_1^n$? 2011-03-30T12:53:59.617

10 Can we find arbitrarily many elements of SU(2) generating a good copy of MAX($\ell_1^n$) inside VN(SU(2))? 2012-04-05T01:19:30.073

10 Non-probabilistic proof of the Johnson–Lindenstrauss lemma 2012-09-11T03:09:02.560

10 Projections in Banach spaces 2012-11-05T14:06:02.067

10 Quotients of l^infty 2013-08-27T13:09:14.857

10 Subspaces of $l_{1}$ are not Lipschitz complemented in $l_{1}$ 2014-07-06T16:41:42.890

10 Approximation via finite rank Cameron-Martin projections 2015-09-27T00:27:57.287

10 Banach spaces $X$ with $\ell_2(X)$ not isomorphic to $L_2([0,1],X)$ 2015-12-02T10:41:41.260

10 Description of $\big(\ell^\infty(\mathbb N)\big)^{\!*}$ via ultrafilters 2016-02-01T10:50:44.423

10 Interpolation between $L_1^0$ and $L_2^0$ 2016-06-15T07:06:10.663