Results 31 to 40 of about 544 (53)

METRIC $X_{p}$ INEQUALITIES

open access: yesForum of Mathematics, Pi, 2016
For every $p\in (0,\infty )$ we associate to every metric space $(X,d_{X})$
ASSAF NAOR, GIDEON SCHECHTMAN
doaj   +1 more source

Monotone and convex H*‐algebra valued functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995
Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley   +1 more source

Spectrum perturbations of compact operators in a Banach space

open access: yesOpen Mathematics, 2019
For an integer p ≥ 1, let Γp be an approximative quasi-normed ideal of compact operators in a Banach space with a quasi-norm NΓp(.) and the ...
Gil’ Michael
doaj   +1 more source

Schatten p-norm inequalities related to a characterization of inner product spaces

open access: yes, 2008
Let $A_1, ... A_n$ be operators acting on a separable complex Hilbert space such that $\sum_{i=1}^n A_i=0$. It is shown that if $A_1, ... A_n$ belong to a Schatten $p$-class, for some $p>0$, then 2^{p/2}n^{p-1} \sum_{i=1}^n \|A_i\|^p_p \leq \sum_{i,j=1 ...
Hirzallah, O.   +2 more
core   +2 more sources

Carleson embeddings

open access: yesAbstract and Applied Analysis, Volume 1, Issue 2, Page 193-201, 1996., 1996
In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specific L q(μ)‐spaces, where μ is a Carleson measure on the complex unit disc. Characterizing absolutely q‐summing, absolutely continuous and q‐integral Carleson embeddings in terms of the underlying measure is our main topic. The presented
Helmut J. Heiming
wiley   +1 more source

p‐representable operators in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 653-658, 1986., 1986
Let E and F be Banach spaces. An operator T ∈ L(E, F) is called p‐representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g ∈ Lq(μ, F), , such that for all x ∈ E. The object of this paper is to investigate the class of all p‐representable operators.
Roshdi Khalil
wiley   +1 more source

Some properties of pre-quasi operator ideal of type generalized Cesáro sequence space defined by weighted means

open access: yesOpen Mathematics, 2019
Let E be a generalized Cesáro sequence space defined by weighted means and by using s-numbers of operators from a Banach space X into a Banach space Y.
Bakery Awad A., Mohammed Mustafa M.
doaj   +1 more source

Diagonalization of a self‐adjoint operator acting on a Hilbert module

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 669-675, 1985., 1985
For each bounded self‐adjoint operator T on a Hilbert module H over an H*‐algebra A there exists a locally compact space m and a certain A‐valued measure μ such that H is isomorphic to L2(μ) ⊗ A and T corresponds to a multiplication with a continuous function. There is a similar result for a commuting family of normal operators.
Parfeny P. Saworotnow
wiley   +1 more source

A simple characterization of the trace‐class of operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 411-412, 1981., 1981
The trace‐class (τc) of operators on a Hilbert space is characterized in terms of existence of certain centralizers.
Parfeny P. Saworotnow
wiley   +1 more source

On critical points of Blaschke products [PDF]

open access: yes, 2010
We obtain an upper bound for the derivative of a Blaschke product, whose zeros lie in a certain Stolz-type region. We show that the derivative belongs to the space of analytic functions in the unit disk, introduced recently in \cite{FG}.
Favorov, S., Golinskii, L.
core  

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