Zobrazeno 1 - 10
of 466
pro vyhledávání: '"32a10"'
Autor:
Vinnikov, Victor, Woerdeman, Hugo J.
We establish various certifying determinantal representation results for a polynomial that contains as a factor a prescribed multivariable polynomials that is strictly stable on a tube domain. The proofs use a Cayley transform in combination with the
Externí odkaz:
http://arxiv.org/abs/2411.17526
Autor:
Aoki, Hiroki, Saito, Kyoji
We consider a formal power series in one variable whose coefficients are holomorphic functions in a given multidimensional complex domain. Assume the following two conditions on the series. (C1) The restriction of the series at each point of a dense
Externí odkaz:
http://arxiv.org/abs/2411.10641
Let $\mathcal{B}(\mathcal{H})$ denote the Banach algebra of all bounded linear operators acting on complex Hilbert spaces $\mathcal{H}$. In this paper, we first establish several sharply refined versions of Bohr's inequality analogues with operator v
Externí odkaz:
http://arxiv.org/abs/2411.01677
Autor:
Allu, Vasudevarao, Pal, Subhadip
In this paper, we investigate the arithmetic Bohr radius of bounded linear operators between arbitrary complex Banach spaces. We establish the close connection between the classical Bohr radius and the arithmetic Bohr radius of bounded linear operato
Externí odkaz:
http://arxiv.org/abs/2410.18620
We study approximations of holomorphic functions of several complex variables by proper subrings of the polynomials. The subrings in question consist of polynomials of several complex variables whose exponents are restricted to a prescribed convex co
Externí odkaz:
http://arxiv.org/abs/2409.12132
Autor:
Sampat, Jeet
In this survey, we consider Banach spaces of analytic functions in one and several complex variables for which: (i) polynomials are dense, (ii) point-evaluations on the domain are bounded linear functionals, and (iii) the shift operator corresponding
Externí odkaz:
http://arxiv.org/abs/2409.10224
Autor:
Bharti, Nikhil, Van Thin, Nguyen
Let $M$ be a complete complex Hermitian manifold with metric $E_{M}$ and let $\varphi: [0,\infty)\rightarrow (0,\infty)$ be positive function such that $$\gamma_r=\sup\limits_{r\leq a
Externí odkaz:
http://arxiv.org/abs/2408.06800
Let $\sigma : \mathbb C^d \rightarrow \mathbb C^d$ be an affine-linear involution such that $J_\sigma = -1$ and let $U, V$ be two domains in $\mathbb C^d.$ Let $\phi : U \rightarrow V$ be a $\sigma$-invariant $2$-proper map such that $J_\phi$ is affi
Externí odkaz:
http://arxiv.org/abs/2408.04384
Autor:
Kim, Kang-Tae, Pawlaschyk, Thomas
We present a selection theorem for domains in $\mathbb{C}^n$, $n\ge 1$, which states that any tamed sequence of pointed connected open subsets admits a subsequence convergent to its own kernel in the sense of Carath\'eodory. Not only is this analogou
Externí odkaz:
http://arxiv.org/abs/2407.10280
Publikováno v:
J. Math. Anal. Appl. (2024), 128732
Let $E$ be the open region in the complex plane bounded by an ellipse. The B. and F. Delyon norm $\|\cdot\|_{\mathrm{bfd}}$ on the space $\mathrm{Hol}(E)$ of holomorphic functions on $E$ is defined by $$ \|f\|_{\mathrm{bfd}} \stackrel{\rm def}{=} \su
Externí odkaz:
http://arxiv.org/abs/2407.03156