Results 11 to 20 of about 5,021,065 (259)

Topology of the Maximal Ideal Space of $H^{\infty}$ [PDF]

open access: yesJournal of Functional Analysis, 1999
We study the structure of the maximal ideal space $M(H^{\infty})$ of the algebra $H^{\infty}=H^{\infty}(\Di)$ of bounded analytic functions defined on the open unit disk $\Di\subset\Co$. Based on the fact that $dim\ M(H^{\infty})=2$ we prove for $H^{\infty}$ the matrix-valued corona theorem.
Brudnyi, Alexander, Alexander Brudnyi
core   +4 more sources

MAXIMAL IDEALS IN THE ALGEBRA OF OPERATORS ON CERTAIN BANACH SPACES [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 2002
AbstractFor a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 \lt p \t \infty$ and $\mathfrak{J}_p$ is the $p$th James space.
Laustsen, Niels J.
core   +8 more sources

Compact 2-Manifolds as Maximal Ideal Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
It is shown that every compact 2 2 -manifold is (homeomorphic to) the maximal ideal space of an antisymmetric algebra which
Alfred G. Brandstein
openaire   +3 more sources

Generators of maximal left ideals in Banach algebras [PDF]

open access: yes, 2012
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
core   +4 more sources

A maximal theorem for holomorphic semigroups. [PDF]

open access: yes, 2004
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible linear operator that is the generator of abounded holomorphic semigroup T_t on X.
Ian Doust   +3 more
core   +4 more sources

The Fuzziness of Fuzzy Ideals [PDF]

open access: yesJournal of Information Technology Management, 2020
The backing of the fuzzy ideal is normal ideal in some ring and in same time there fuzzy set whose is not fuzzy ideal and it backing set is ideal, i.e., it crisp is normal ideal.
Amer Himza Almyaly
doaj   +1 more source

Star compressed zero divisors graph and partitions of vector spaces [PDF]

open access: yesریاضی و جامعه, 2023
Let $R$ be a commutaive ring and $Zd(R)$ be the set of zero divisors of $R$. Define an equivalence relation $\sim$ on $Zd(R)$ as follows: $x\sim y$ if and only if $ann(x)=ann(y)$.
Hamid Reza Dorbidi
doaj   +1 more source

Statistical description of ideal gas at Planck scale with strong quantum gravity measurement

open access: yesHeliyon, 2022
It has been recently introduced a set of noncommutative algebra that describes the space at the Planck scale [J. Phys. A: Math. Theor. 53, 115303 (2020)]. The interesting significant result we found is that the generalized uncertainty principle induced a
Latévi M. Lawson
doaj   +1 more source

A modal definition of ideal alveolar oxygen

open access: yesPhysiological Reports, 2023
In the three‐compartment model of lung ventilation‐perfusion heterogeneity (VA/Q scatter), both Bohr dead space and shunt equations require values for central “ideal” compartment O2 and CO2 partial pressures. However, the ideal alveolar gas equation most
Philip J. Peyton
doaj   +1 more source

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