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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
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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 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, $ $y\in C$ $TxTy\leq k_{n}xy$ $\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, $ $y\in C$ $TxTy\leq k_{n}xy$ $\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 ComplexResistivity Survey for DNAPL at the Savannah River Site A014 Outfall
"... Nonlinear complexresistivity (NLCR) crosshole imaging of the vadose zone was performed at the A014 Outfall at the Savannah River Site, Aiken, SC. The purpose of this experiment was to fieldtest 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 ~15ft (3 m) separations in and around the suspected source zone to depths of 72 ft (22 m), and measurements were carried out at seven nearestneighbor panels. Amplitude and phase data were edited
On the Sum of Fractional Derivatives and MAccretive 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 selfadjoint 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 oneparameter 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
of
43