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43
A Julia–Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball
, 2006
"... We establish a Julia–Carathéodory theorem and a boundary Schwarz– Wolff lemma for hyperbolically monotone mappings in the open unit ball of a complex Hilbert space. Let B be the open unit ball of a complex Hilbert space H with inner product 〈·, · 〉 and norm ‖ · ‖, and let ρ: B × B ↦ → R + be the hy ..."
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We establish a Julia–Carathéodory theorem and a boundary Schwarz– Wolff lemma for hyperbolically monotone mappings in the open unit ball of a complex Hilbert space. Let B be the open unit ball of a complex Hilbert space H with inner product 〈·, · 〉 and norm ‖ · ‖, and let ρ: B × B ↦ → R
unknown title
"... Implications of consistency of hyperbolic geometry 1. There are models within R 3 or even R 2 that satisfy the postulates of hyperbolic geometry (Hilbert IBC + HH (p. 259) + Dedekind). (We get to details around pp. 329–330.) This shows that hyperbolic geometry is consistent if our theory of R n is ( ..."
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Implications of consistency of hyperbolic geometry 1. There are models within R 3 or even R 2 that satisfy the postulates of hyperbolic geometry (Hilbert IBC + HH (p. 259) + Dedekind). (We get to details around pp. 329–330.) This shows that hyperbolic geometry is consistent if our theory of R n
$C $ Banach $E $ $C $ $C $ $T $ $C$
"... $C $ $C $ $T $ asymptotically nonexpansive with $\{k_{n}\}$ { $x, $ $y\in C$ $||Tx-Ty||\leq k_{n}||x-y||$ $\mathrm{m}_{narrow\infty} $ $k_{n}\leq 1 $ ([2] ) $\text {} $ $F(T) $ $\{x\in C:x=Tx\}$ $C $ Hilbert $H $ $T $ $C $ $C $ nonexpansive mapping $x $ $C $ Halpern [3] Reich [6] 1 iteration scheme. ..."
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$C $ $C $ $T $ asymptotically nonexpansive with $\{k_{n}\}$ { $x, $ $y\in C$ $||Tx-Ty||\leq k_{n}||x-y||$ $\mathrm{m}_{narrow\infty} $ $k_{n}\leq 1 $ ([2] ) $\text {} $ $F(T) $ $\{x\in C:x=Tx\}$ $C $ Hilbert $H $ $T $ $C $ $C $ nonexpansive mapping $x $ $C $ Halpern [3] Reich [6] 1 iteration scheme.
Nonlinear Complex-Resistivity Survey for DNAPL at the Savannah River Site A-014 Outfall
"... Nonlinear complex-resistivity (NLCR) cross-hole imaging of the vadose zone was performed at the A-014 Outfall at the Savannah River Site, Aiken, SC. The purpose of this experiment was to field-test the ability of this method to detect dense nonaqueous phase liquids (DNAPLs), specifically tetrachloro ..."
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tetrachloroethene (PCE), known to contaminate the area. Five vertical electrode arrays (VEAs) were installed with ~15-ft (3 m) separations in and around the suspected source zone to depths of 72 ft (22 m), and measurements were carried out at seven nearest-neighbor panels. Amplitude and phase data were edited
On the Sum of Fractional Derivatives and M-Accretive Operators
, 1994
"... Introduction We study the abstract integrodifferential equation (E) ( d dt ( R t 0 k(t \Gamma s)u(s)ds) + Au(t) 3 f(t); t 0; u(0) = 0; in a real Hilbert space H. The scalarvalued kernel k is assumed to be locally integrable, positive and nonincreasing on R + . Although this is not explicit ..."
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Introduction We study the abstract integrodifferential equation (E) ( d dt ( R t 0 k(t \Gamma s)u(s)ds) + Au(t) 3 f(t); t 0; u(0) = 0; in a real Hilbert space H. The scalarvalued kernel k is assumed to be locally integrable, positive and nonincreasing on R + . Although
A SYMMETRIC OPERATOR MAXIMAL WITH RESPECT TO A GENERALISED RESOLUTION OF THE IDENTITY
"... Let T be a self-adjoint operator (possibly unbounded) on a Hilbert space H. Let T have domain D(T) and resolvent R(X). Then i?(A): H-+H has range D(T) for We shall generalise this result to a symmetric operator T with generalised resolvent R(X). More precisely, given a spectral function F(t) corresp ..."
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operators on a Hilbert space. A generalised resolution of the identity is a one-parameter family of bounded symmetric operators {F(t): t e R} such that (1) if t> s, F(t)-F(s) is positive; (2) F(t + 0)f = lim F(s)f = F(t)f (feH,teR); (3) F(oo)/ = lim F(t)f = f (feH); t-»oo F(-oo)f = lim F(-t)f = 0 (fe
Results 1 - 10
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