The Experts below are selected from a list of 5076 Experts worldwide ranked by ideXlab platform
Ludwig Kohaupt - One of the best experts on this subject based on the ideXlab platform.
-
Phase diagram for Norms of the solution Vector of dynamical multi-degree-of-freedom systems
2010Co-Authors: Ludwig KohauptAbstract:In the present paper, we generalize the y(t)-y(t)-phase diagram for the solution y(t) of a single-degree-of-freedom problem to the ||y(t)||-D+||y(t)||-phase diagram for the norm ||y(t)|| of the solution Vector y(t) of a multi-degree-of-freedom problem. As the main tool, the differential calculus for Norms of Vector functions is applied developed by the author is earlier work. The generalization process is described in several steps, each of which is illustrated by a numerical example. The new concept of phase diagram for Norms of a Vector should be of interest to many scientists, especially from areas of modeling and simulation.
-
Plenary lecture 4: phase diagram for Norms of the solution Vector of dynamical multi-degree-of-freedom systems
2010Co-Authors: Ludwig KohauptAbstract:In the presenttalk, we generalize the y(t)-y(t)- phase diagram for the solution y(t) of a single-degree-of-freedom problem to the ||y(t)||-D+||y(t)||-phase diagram for the norm ||y(t)|| of the solution Vector y(t) of a multi-degree-of-freedom problem. As the main tool, the differential calculus for Norms of Vector functions is applied developed by the author is earlier work. The generalization process is described in several steps, each of which is illutrated by a numerical example. The new concept of the phase diagram for Norms of a Vector should be of interest to many scientist, especially from areas of modeling and simulation.
Eero Saksman - One of the best experts on this subject based on the ideXlab platform.
-
on singular integral and martingale transforms
Transactions of the American Mathematical Society, 2009Co-Authors: Stefan Geiss, Stephen Montgomerysmith, Eero SaksmanAbstract:Linear equivalences of Norms of Vector-valued singular integral operators and Vector-valued martingale transforms are studied. In particular, it is shown that the UMD-constant of a Banach space X equals the norm of the real (or the imaginary) part of the Beurling-Ahlfors singular integral operator, acting on L p X (R 2 ) with p ∈ (1, ∞). Moreover, replacing equality by a linear equivalence, this is found to be a typical property of even multipliers. A corresponding result for odd multipliers and the Hilbert transform is given. As a corollary we obtain that the norm of the real part of the Beurling-Ahlfors operator equals p * — 1 with p * := max{p, (p/(p - 1))}, where the novelty is the lower bound.
-
On singular integral and martingale transforms
arXiv: Classical Analysis and ODEs, 2007Co-Authors: Stefan Geiss, Stephen Montgomery-smith, Eero SaksmanAbstract:Linear equivalences of Norms of Vector-valued singular integral operators and Vector-valued martingale transforms are studied. In particular, it is shown that the UMD(p)-constant of a Banach space X equals the norm of the real (or the imaginary) part of the Beurling-Ahlfors singular integral operator, acting on the X-valued L^p-space on the plane. Moreover, replacing equality by a linear equivalence, this is found to be the typical property of even multipliers. A corresponding result for odd multipliers and the Hilbert transform is given.
Stefan Geiss - One of the best experts on this subject based on the ideXlab platform.
-
on singular integral and martingale transforms
Transactions of the American Mathematical Society, 2009Co-Authors: Stefan Geiss, Stephen Montgomerysmith, Eero SaksmanAbstract:Linear equivalences of Norms of Vector-valued singular integral operators and Vector-valued martingale transforms are studied. In particular, it is shown that the UMD-constant of a Banach space X equals the norm of the real (or the imaginary) part of the Beurling-Ahlfors singular integral operator, acting on L p X (R 2 ) with p ∈ (1, ∞). Moreover, replacing equality by a linear equivalence, this is found to be a typical property of even multipliers. A corresponding result for odd multipliers and the Hilbert transform is given. As a corollary we obtain that the norm of the real part of the Beurling-Ahlfors operator equals p * — 1 with p * := max{p, (p/(p - 1))}, where the novelty is the lower bound.
-
On singular integral and martingale transforms
arXiv: Classical Analysis and ODEs, 2007Co-Authors: Stefan Geiss, Stephen Montgomery-smith, Eero SaksmanAbstract:Linear equivalences of Norms of Vector-valued singular integral operators and Vector-valued martingale transforms are studied. In particular, it is shown that the UMD(p)-constant of a Banach space X equals the norm of the real (or the imaginary) part of the Beurling-Ahlfors singular integral operator, acting on the X-valued L^p-space on the plane. Moreover, replacing equality by a linear equivalence, this is found to be the typical property of even multipliers. A corresponding result for odd multipliers and the Hilbert transform is given.
Ivan G Todorov - One of the best experts on this subject based on the ideXlab platform.
-
Norms of Vector functionals
arXiv: Operator Algebras, 2016Co-Authors: M Anoussis, Narutaka Ozawa, Ivan G TodorovAbstract:We examine the question of when, and how, the norm of a Vector functional on an operator algebra can be controlled by the invariant subspace lattice of the algebra. We introduce a related operator algebraic property, and show that it is satisfied by all von Neumann algebras and by all CSL algebras. We exhibit examples of operator algebras that do not satisfy the property or any scaled version of it.
Stephen Montgomery-smith - One of the best experts on this subject based on the ideXlab platform.
-
On singular integral and martingale transforms
arXiv: Classical Analysis and ODEs, 2007Co-Authors: Stefan Geiss, Stephen Montgomery-smith, Eero SaksmanAbstract:Linear equivalences of Norms of Vector-valued singular integral operators and Vector-valued martingale transforms are studied. In particular, it is shown that the UMD(p)-constant of a Banach space X equals the norm of the real (or the imaginary) part of the Beurling-Ahlfors singular integral operator, acting on the X-valued L^p-space on the plane. Moreover, replacing equality by a linear equivalence, this is found to be the typical property of even multipliers. A corresponding result for odd multipliers and the Hilbert transform is given.