Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Linear isometry

Sortuj według:

Ogranicz wyniki do:

Isometries of some F-algebras of holomorphic functions on the upper half plane

100%

Iida Y., Takahashi K.

Open Mathematics

2013

tom 11

nr 6

1034-1038

Linear isometries of N p(D) onto N p(D) are described, where N p(D), p > 1, is the set of all holomorphic functions f on the upper half plane D = {z ∈ ℂ: Im z > 0} such that supy>0 ∫ℝ lnp (1 + |(x + iy)|) dx < +∞. Our result is an improvement of the results by D.A. Efimov.

Finite codimensional linear isometries on spaces of differentiable and Lipschitz functions

75%

Koshimizu H.

Open Mathematics

2011

tom 9

nr 1

139-146

We characterize finite codimensional linear isometries on two spaces, C (n)[0; 1] and Lip [0; 1], where C (n)[0; 1] is the Banach space of n-times continuously differentiable functions on [0; 1] and Lip [0; 1] is the Banach space of Lipschitz continuous functions on [0; 1]. We will see they are exactly surjective isometries. Also, we show that C (n)[0; 1] and Lip [0; 1] admit neither isometric shifts nor backward shifts.

Ograniczanie wyników

2 Open Mathematics

1 Iida Y.

1 Koshimizu H.

1 Takahashi K.

1 2013

1 2011

Wyniki wyszukiwania

Isometries of some F-algebras of holomorphic functions on the upper half plane

Finite codimensional linear isometries on spaces of differentiable and Lipschitz functions