ultra bessel sequences in direct sums of hilbert spaces

Authors

m. r. abdollahpour

a. rahimi

abstract

in this paper, we establish some new results in ultra bessel sequences and ultra bessel sequences of subspaces. also, we investigate ultra bessel sequences in direct sums of hilbert spaces.specially, we show that {( fi, gi)}∞ i=1 is a an ultra bessel sequencefor hilbert space h ⊕ k if and only if { fi}∞ i=1 and {gi}∞ i=1 are ultrabessel sequences for hilbert spaces h and k, respectively.

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Journal title:
wavelet and linear algebra

Publisher: vali-e-asr university of rafsanjan

ISSN 2383-1936

volume 2

issue 1 2015

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