Ultra Bessel sequences in direct sums of Hilbert spaces

نویسندگان

  • A. Rahimi University of Maragheh
  • M. R. Abdollahpour University of Mohaghegh Ardabili
چکیده مقاله:

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 sequence for Hilbert space H ⊕ K if and only if { fi}∞ i=1 and {gi}∞ i=1 are ultra Bessel sequences for Hilbert spaces H and K, respectively.

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ultra bessel sequences in direct sums of hilbert spaces

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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عنوان ژورنال

دوره 2  شماره 1

صفحات  55- 64

تاریخ انتشار 2015-09-01

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