Results 41 to 50 of about 138 (121)

Preserver Problems on Function Spaces, Operator Algebras, and Related Topics

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Antonio M. Peralta, Chi-Keung Ng, Ngai-Ching Wong, Jen-Chih Yao   +3 more
wiley   +1 more source

Some Spectral Problems for First-Order Normal Differential Operators in the Weighted Hilbert Spaces of Vector Functions

Mathematics
In this article, in order for the minimal operator generated by the first-order differential-operator expression in the weighted Hilbert space of vector functions in the finite interval to be formal normal, the relationship between the variable operator ...
Zameddin I. Ismailov, Pembe Ipek Al, Mohammad Sababheh   +2 more
doaj   +1 more source

Von Neumann–Jordan constant for Lebesgue–Bochner spaces

Journal of Inequalities and Applications, 1998
The von Neumann–Jordan (NJ-) constant for Lebesgue–Bochner spaces is determined under some conditions on a Banach space . In particular the NJ-constant for as well as (the space of -Schatten class operators) is determined.
Takahashi Yasuji, Kato Mikio
doaj  

Carbery's inequality in the Schatten--von Neumann classes

Carbery posed a question of sharpened triangle inequalities for families of operators in the Schatten--von Neumann classes $S_p$, $p\geq 2$. He established a weaker form of the desired estimate for even integer values of $p$. In the commutative setting the corresponding sharp inequality (with optimal exponent $p'=\frac{p}{p-1}$) was recently obtained ...
Chen, Ziang, Ivanisvili, Paata, Madrid, Jose, Wang, Haozhu   +3 more
openaire   +2 more sources

An Interesting Class of Operators with unusual Schatten-von Neumann behavior

, 2001
We consider the class of integral operators $Q_\f$ on $L^2(\R_+)$ of the form $(Q_\f f)(x)=\int_0^\be\f (\max\{x,y\})f(y)dy$. We discuss necessary and sufficient conditions on $ϕ$ to insure that $Q_ϕ$ is bounded, compact, or in the Schatten-von Neumann class $\bS_p ...
Aleksandrov, A. B., Janson, S., Peller, V. V., Rochberg, R.   +3 more
openaire   +2 more sources

Continuity and Schatten–von Neumann p-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces

Journal of Mathematical Analysis and Applications, 2006
Let \(L^2_m:=L^2({\mathbb C},| z| ^m)\) denote the space of \(g\)-measurable functions with respect to the Lebesgue measure \(d\lambda\) in \(\mathbb C\) such that \[ \| g\| _m^2:=\int_{\mathbb C} | g(z)| ^2 e^{-| z| ^m} d\lambda(z)m\).
Knirsch, Wolfgang, Schneider, Georg
openaire   +2 more sources

Schatten–von Neumann properties for Hörmander classes on compact Lie groups

Forum Mathematicum
Abstract Let G be a compact Lie group of dimension n . In this work we characterise the membership of classical pseudo-differential operators on G in the trace class ideal
Duván Cardona, Marianna Chatzakou, Michael Ruzhansky, Joachim Toft   +3 more
openaire   +3 more sources

Schatten-von Neumann classes with more subtle asymptotics than one of the power type

, 2023
In this paper we study non-selfadjoint operators using the methods of the spectral theory. The main challenge is to represent a complete description of an operator belonging to the Schatten-von Neumann class having used the order of the Hermitian real component.
openaire   +2 more sources

On Transmitted Complexity Based on Modified Compound States. [PDF]

Entropy (Basel), 2023
Watanabe N.
europepmc   +1 more source

ALMOST-ORTHOGONALITY IN THE SCHATTEN-VON NEUMANN CLASSES

, 2009
We consider criteria for a sum of operators in the Schatten-von Neumann class C-p to be in the same class. These criteria are expressed as almost-orthogonality conditions. We also pose some open questions related to this work.
openaire   +2 more sources