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Smooth, Compact Operators [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1979
It is a result of Holub’s [Math. Ann. 201 (1973), 157-163], that for T a compact operator on a real Hilbert space, T is smooth ⇔ ‖ T x 1 ‖ = ‖ T
Julien Hennefeld
openalex   +2 more sources

A positive compact operator

open access: yesManuscripta Mathematica, 1975
I give an example of a positive compact operator on L2[0,1] which is not representable by any Lebesgue measurable function on [0,1]2. This example can be adapted to answer a question of H.H.Schaefer (§4 below).
D. Fremlin
openaire   +3 more sources

Small eigenvalues of the Laplace operator on compact Riemann surfaces [PDF]

open access: gold, 1974
Let Sf be a compact Riemann surface, which we will assume to have curvature normalized to be — 1 , and let 0=A0 0) , and satisfying a growth condition of the form \h(z)\ = 0 ( l + |z|)~, uniformly in the strip. Associate with the sequence o(%)> hix)* ' '
Burton Randol
openalex   +2 more sources

Compact and limited operators [PDF]

open access: yesMathematische Nachrichten, 2021
AbstractLet be a bounded linear operator between two real normed spaces. We characterize compactness of T in terms of differentiability of the Lipschitz functions defined on X with values in another normed space Z. Furthermore, using a similar technique we can also characterize finite rank operators in terms of differentiability of a wider class of ...
Bachir, Mohammed   +2 more
openaire   +4 more sources

Some Topological Character of Neutrosophic normed spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
The concept of neutrosophic normed spaces was introduced by Murat Kirisci* and Necip Simsek [3]. In this paper, by using the compact operator ψ(zj ) and the concept of statistical convergence.
Vakeel A. Khan, Mohammad Daud Khan
doaj   +1 more source

On the class of $\text{b}$-L-weakly and order M-weakly compact operators [PDF]

open access: yesMathematica Bohemica, 2020
In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.
Driss Lhaimer   +2 more
doaj   +1 more source

On linear sections of orthogonally additive operators

open access: yesМатематичні Студії, 2022
Our first result asserts that, for linear regular operators acting from a Riesz space with the principal projection property to a Banach lattice with an order continuous norm, the $C$-compactness is equivalent to the $AM$-compactness. Next we prove that,
A. Gumenchuk, I. Krasikova, M. Popov
doaj   +1 more source

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