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Restricted Invertibility and the Banach-Mazur distance to the cube
Restricted Invertibility the Banach-Mazur distance cube Functional Analysis
2012/6/19
We prove a normalized version of the restricted invertibility principle obtained by Spielman-Srivastava. Applying this result, we get a new proof of the proportional Dvoretzky-Rogers factorization the...
A type (4) space in (FR)-classification
Classification of Banach spaces quasi-minimal tight Banach spaces Functional Analysis
2012/6/19
We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers' classification pro...
Constructive Analysis in Infinitely many variables
infinite-dimensional Lebesgue measure Gaussian measure Fourier transforms Banach space Pontryagin duality theory
2012/6/30
In this paper we investigate the foundations for analysis in infinitely-many (independent) variables. We give a topological approach to the construction of the regular $\s$-finite Kirtadze-Pantsulaia ...
On the power-bounded operators of classes $C_{0 \cdot}$ and $C_{1 \cdot}$
power-bounded operators C0 operators strongly stable operators Functional Analysis
2012/6/19
By a bounded backward sequence of the operator $T$ we mean a bounded sequence $\{x_n\}$ satisfying $Tx_{n+1}=x_n$. In \cite{Pa} we have characterized contractions with strongly stable nonunitary part ...
An extension of solutions to convolution equations with the loss of smoothness
Homogeneous convolution equations mean periodic functions zeros of entire functions
2012/6/19
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
On Titchmarsh-Weyl functions of first-order symmetric systems with arbitrary deficiency indices
First-order symmetric system decomposing boundary triplet Nevanlinna boundary conditions m-function
2012/6/19
We study general (not necessarily Hamiltonian) first-order symmetric systems $J y'(t)-B(t)y(t)=\D(t) f(t)$ on an interval $[a,b> $ with the regular endpoint $a$. The deficiency indices $n_\pm$ of the ...
Heat kernel generated frames in the setting of Dirichlet spaces
Heat kernel Gaussian bounds Functional calculus Sampling Frames Besov spaces
2012/6/19
Wavelet bases and frames consisting of band limited functions of nearly exponential localization on Rd are a powerful tool in harmonic analysis by making various spaces of functions and distributions ...
Parabolic martingales and non-symmetric Fourier multipliers
Parabolic martingales non-symmetric Fourier multipliers Functional Analysis
2012/6/18
We give a class of Fourier multipliers with non-symmetric symbols and explicit norm bounds on $L^p$ spaces by using the stochastic calculus of L\'evy processes and Burkholder-Wang estimates for differ...
Weighted Lipschitz estiamtes for commutators of one-sided operators on one-sided Triebel-Lizorkin spaces
one-sided weight weighted Lipschitz function one-sided Triebel-Lizorkin space one-sided singular integral
2012/6/15
Using the extrapolation of one-sided weights, we establish the boundedness of commutators generated by weighted Lipschitz functions and one-sided singular integral operators from weighted Lebesgue spa...
Weak Markov Processes as Linear Systems
multi-variable system weakMarkov process cascade observability asymptotic completeness
2012/6/15
A noncommutative Fornasini-Marchesini system (a multi-variable version of a linear system) can be realized within a weak Markov process (a model for quantum evolution). For a discrete time parameter t...
Arithmetic, geometric and harmonic mean for accretive-dissipative matrices
Lowner order Arithmetic Geometric and Harmonic mean Accretivedissipative matrix
2012/6/15
The concept of L\"{o}wner (partial) order for general complex matrices is introduced. After giving the definition of arithmetic, geometric and harmonic mean for accretive-dissipative matrices, we stud...
We use shift-invariant subspaces of the Hardy space on the bidisk to provide an elementary proof of the Agler Decomposition Theorem. We observe that these shift-invariant subspaces are specific cases ...
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Involutive Banach algebra crossed product structure of ideals spectral synthesis topological dynamical system
2012/6/12
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
Interpolation of bilinear operators and compactness
interpolation Banach spaces bilinear operators compactness
2012/6/6
The behavior of bilinear operators acting on interpolation of Banach spaces for the $\rho$ method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's com...
Hypercyclic operators on countably dimensional spaces
Cyclic operators hypercyclic operators invariant subspaces topological vector spaces
2012/5/25
According to Grivaux, the group $GL(X)$ of invertible linear operators on a separable infinite dimensional Banach space $X$ acts transitively on the set $\Sigma(X)$ of countable dense linearly indepen...