Geometry of modulus spaces.
Geometry of nuclear spaces - I
Geometry of nuclear spaces. II - Linear topological invariants
Geometry of nuclear spaces. III - Spaces of holomorphic functions
Geometry of numerical ranges in locally -convex *-algebras.
Geometry of oblique projections
Let A be a unital C*-algebra. Denote by P the space of selfadjoint projections of A. We study the relationship between P and the spaces of projections determined by the different involutions induced by positive invertible elements a ∈ A. The maps sending p to the unique with the same range as p and sending q to the unitary part of the polar decomposition of the symmetry 2q-1 are shown to be diffeomorphisms. We characterize the pairs of idempotents q,r ∈ A with ||q-r|| < 1 such that...
Geometry of Orlicz spaces [Book]
Geometry of quotient spaces and proximinality
It is proved that if X is a rotund Banach space and M is a closed and proximinal subspace of X, then the quotient space X/M is also rotund. It is also shown that if Φ does not satisfy the δ₂-condition, then is not proximinal in and the quotient space is not rotund (even if is rotund). Weakly nearly uniform convexity and weakly uniform Kadec-Klee property are introduced and it is proved that a Banach space X is weakly nearly uniformly convex if and only if it is reflexive and it has the weakly...
Geometry of Spheres: On a Conjecture of J. J. Schäffer.
Geometry of the Banach spaces C(βℕ × K,X) for compact metric spaces K
A classical result of Cembranos and Freniche states that the C(K,X) space contains a complemented copy of c₀ whenever K is an infinite compact Hausdorff space and X is an infinite-dimensional Banach space. This paper takes this result as a starting point and begins a study of conditions under which the spaces C(α), α < ω₁, are quotients of or complemented in C(K,X). In contrast to the c₀ result, we prove that if C(βℕ ×[1,ω],X) contains a complemented copy of then X contains a copy of c₀. Moreover,...
Geometry of the spectral semidistance in Banach algebras
Let be a unital Banach algebra over , and suppose that the nonzero spectral values of and are discrete sets which cluster at , if anywhere. We develop a plane geometric formula for the spectral semidistance of and which depends on the two spectra, and the orthogonality relationships between the corresponding sets of Riesz projections associated with the nonzero spectral values. Extending a result of Brits and Raubenheimer, we further show that and are quasinilpotent equivalent if...
Geometry on the space of positive functions.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
Gibbsian fields associated to exponentially decreasing quadratic potentials
Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space
Gleason Parts and a Problem in Prediction Theory.
Gleason theorem for signed measures with infinite values
Gleason–Kahane–Żelazko theorem for spectrally bounded algebra.
Gliding hump properties and some applications.