Transistors, microcircuits, and lasers, all products of space-age technology, have revolutionized the art of electronic eavesdropping.
Exploiting the special structure of the models, the functions spaces used for the approximation of the solution are chosen as tensor products of spaces on the macroscopic domain and on the standard cell associated to the microstructure.
Interesting though the terrestrial by-products of space research may be, the experts are concerned principally with getting a man into space.
In this section we first investigate the boundedness of the m-linear Calderón-Zygmund operator on the product of spaces L p i, ϕ i ( X, μ ) for i = 1, 2, …, m.
However the proofs seem to be technically much more complicated since one has to represent the space of harmonic functions on as a quotient of a direct sum of the complete tensor product of spaces of harmonic functions with fewer variables, while we produced here a, somehow, direct proof.
Vex's Four Chambers is a product of spaces like this.
In statistics, maximum spacing estimation (MSE or MSP), or maximum product of spacing estimation (MPS), is a method for estimating the parameters of a univariate statistical model.
However, it is sometimes argued that non-separable Hilbert spaces are also important in quantum field theory, roughly because the systems in the theory possess an infinite number of degrees of freedom and any infinite Hilbert tensor product (of spaces of dimension greater than one) is non-separable.
The abstract characterization given for linear spaces of bounded Hilbert space operators in terms of matricially normed spaces [1] implies that quotients, mapping spaces and various tensor products of operator spaces may again be regarded as operator spaces.
A general inequality involving powers of the numerical radius for sums and products of Hilbert space operators is given.
