All Research Papers Published In Annals of Functional Analysis

Research Article
1
10.1007/s43034-022-00230-4

Fundamental results on weak phase retrieval

Dec 05, 2022
Annals of Functional Analysis
P G Casazza + 2 more +2

Research Article
1
10.1007/s43034-022-00226-0

Spectrum and global bifurcation results for nonlinear second-order problem on all of $${\mathbb {R}}$$

Nov 03, 2022
Annals of Functional Analysis
Ruyun Ma + 3 more +3

Research Article
10.1007/s43034-022-00221-5

The ideal of operators factored through a Banach space with a basis

Oct 01, 2022
Annals of Functional Analysis
Ju Myung Kim

Research Article
10.1007/s43034-022-00198-1

Spectrum of differential operators with elliptic adjoint on a scale of localized Sobolev spaces

Aug 04, 2022
Annals of Functional Analysis
Éder Rítis Aragão Costa + 1 more +1

In this paper, we provide a complete study of the spectrum of a constant coefficients differential operator on a scale of localized Sobolev spaces, $$H^{s}_{\mathrm{loc}}(I),$$ which are Fréchet spaces. This is quite different from what we find in the literature, where all the relevant results are concerned with spectrum on Banach spaces. Our aim is to understand the behavior of all the three types of spectrum (point, residual, and continuous) and the relation between them and those of the dual operator. The main result we present shows that there is no complex number in the resolvent set of such operators, which suggest a new way to define spectrum if we want to reproduce the classical theorems of the Spectral Theory in Fréchet spaces.

Research Article
10.1007/s43034-022-00205-5

Scattering for a focusing Hartree equation

Aug 04, 2022
Annals of Functional Analysis
Tarek Saanouni + 1 more +1

Research Article
10.1007/s43034-022-00203-7

Construction of solutions for a critical Grushin problem with competing potentials

Jul 21, 2022
Annals of Functional Analysis
Min Liu + 1 more +1

Research Article
1
10.1007/s43034-022-00199-0

Noncommutative geometry of the quantum disk

Jul 01, 2022
Annals of Functional Analysis
Slawomir Klimek + 2 more +2

We discuss various aspects of the noncommutative geometry of a smooth subalgebra of the Toeplitz algebra. In particular, we study the structure of derivations on this subalgebra.

Research Article
1
10.1007/s43034-022-00187-4

The coarse Novikov conjecture for coarse fibrations over Banach spaces with Property (H)

Jun 18, 2022
Annals of Functional Analysis
Zheng Luo + 2 more +2

Research Article
1
10.1007/s43034-022-00194-5

An inverse boundary value problem for the incompressible inhomogeneous Navier–Stokes equations

Jun 17, 2022
Annals of Functional Analysis
Pan Liu + 1 more +1

Research Article
4
10.1007/s43034-022-00182-9

The generalized Fredholm elements in a semisimple Banach algebra

May 02, 2022
Annals of Functional Analysis
Yingying Kong + 2 more +2