INTERNATIONAL JOURNAL OF SCIENTIFIC DEVELOPMENT AND RESEARCH International Peer Reviewed & Refereed Journals, Open Access Journal ISSN Approved Journal No: 2455-2631 | Impact factor: 8.15 | ESTD Year: 2016
open access , Peer-reviewed, and Refereed Journals, Impact factor 8.15
Let T be the unilateral shift on the Hardy-Hilbert Space on the open unit disk D. In this paper it is shown that T have no non trivial reducing subspaces and if M ≠ {0} be an invariant subspace of T then ∃ an inner function φ unique upto the multiplication by a constant of mod- ulus 1 such that M = φH2(D)
Keywords:
Hilbert, Invariant, Unilateral, Equivalence
Cite Article:
"INVARIANT SUBSPACES OF UNILATERAL SHIFT ON H2(D)", International Journal of Science & Engineering Development Research (www.ijsdr.org), ISSN:2455-2631, Vol.5, Issue 11, page no.157 - 163, November-2020, Available :http://www.ijsdr.org/papers/IJSDR2011025.pdf
Downloads:
000337071
Publication Details:
Published Paper ID: IJSDR2011025
Registration ID:192714
Published In: Volume 5 Issue 11, November-2020
DOI (Digital Object Identifier):
Page No: 157 - 163
Publisher: IJSDR | www.ijsdr.org
ISSN Number: 2455-2631
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