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                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549


                                 SCHEDULE 13G

           INFORMATION STATEMENT TO BE INCLUDED IN STATEMENTS FILED
    PURSUANT TO RULES 13d-1 (b) (c) AND (d) AND AMENDMENTS THERETO FILED
                           PURSUANT TO RULE 13d-2(b)

                             (Amendment No. 3)*
                                           --


                               UAL CORPORATION
                               ----------------
                               (Name of Issuer)


                                 Common Stock
                        ------------------------------
                        (Title of Class of Securities)


                                  90254950-0
                                --------------
                                (CUSIP Number)


                               December 31, 2000
            -------------------------------------------------------
            (Date of Event Which Requires Filing of This Statement)


Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

     [X] Rule 13d-1(b)

     [_] Rule 13d-(c)

     [_] Rule 13d-1(d)

     *The remainder of this cover page shall be filled out for a reporting
person's initial filing on this form with respect to the subject class of
securities, and for any subsequent amendment containing information which would
alter the disclosures provided in a prior cover page.

     The information required in the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
the Act but shall be subject to all other provisions of the Act (however, see
the Notes).




--------------------                                         -----------------
CUSIP No. 90254950-0                    13G                  Page 2 of 5 Pages
--------------------                                         -----------------


------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. OR I.R.S. IDENTIFICATION OF ABOVE PERSON

      OPPENHEIMER CAPITAL (IRS No. 13-3413767)
------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
                                                                (b) [X]

------------------------------------------------------------------------------
      SEC USE ONLY
 3


------------------------------------------------------------------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 4
      Delaware

------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5
     NUMBER OF            -0-

      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6
                          -0-
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7
    REPORTING             -0-

      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8
                          -0-
------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9
      -0-
------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                                                                         [_]

------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
11
      -0-

------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
      IA

------------------------------------------------------------------------------
                    * SEE INSTRUCTION BEFORE FILLING OUT!

                                       2



Item 1    (a)  Name of Issuer:
               --------------
               UAL Corporation

          (b)  Address of Issuer's Principal Executive Offices:
               -----------------------------------------------
               100 Fillmore Street, Suite 300
               Denver, Colorado 80206

Item 2    (a)  Name of Person Filing:
               ---------------------
               OPPENHEIMER CAPITAL

          (b)  Address of Principal Business Office:
               ------------------------------------
               1345 Avenue of the Americas
               New York, New York 10105

          (c)  Citizenship:
               -----------
               Not Applicable.

          (d)  Title of Class of Securities:
               ----------------------------
               Common Stock

          (e)  CUSIP Number:
               ------------
               90254950-0

Item 3     If this statement is filed pursuant to Rule 13d-1(b), or 13d-2(b),
           ------------------------------------------------------------------
           check whether the person filing is a:
           -------------------------------------

           (a)  [_] Broker or dealer registered under Section 15 of the
                    Exchange Act;

           (b)  [_] Bank as defined in Section 3(a)(6) of the Exchange Act;

           (c)  [_] Insurance company as defined in Section 3(a)(19) of the
                    Act;

           (d)  [_] Investment company registered under Section 8 of the
                    Investment Company Act;

           (e)  [X] Investment adviser registered under Section 203 of the
                    Investment Advisors Act of 1940;

           (f)  [_] Employee benefit plan or endowment fund in accordance with
                    Rule 13d-1(b)(1)(ii)(F);

           (g)  [_] Parent holding company or control person, in accordance with
                    13d-1(b)(ii)(G);

           (h)  [_] Savings association as defined in Section 3(b) of the
                    Federal Deposit Insurance Act;

           (i)  [_] Church plan that is excluded from the definition of an
                    investment company under Section 3(c)(14) of the Investment
                    Company Act;

           (j)  [_] Group, in accordance with Rule 13d-1(b)(1)(ii)(H).

           If this statement is filed pursuant to Rule 13d-1(c), check this
           box. [_]

                                       3



Item 4     Ownership.
           ---------

           (a)   Amount Beneficially Owned: -0-

           (b)   Percent of class: -0-

           (c)   Number of shares as to which such person has:

           (i)   Sole Power to vote or to direct the vote: -0-

           (ii)  Shared power to vote: -0-

           (iii) Sole Power to dispose or to direct the disposition of: -0-

           (iv)  Shared power to dispose or to direct the disposition of:
                 -0-

      **This report is being filed on behalf of Oppenheimer Capital, a Delaware
  general partnership and/or certain investment advisory clients or
  discretionary accounts relating to their collective beneficial ownership of
  shares of common stock of the Issuer. Oppenheimer Capital is a registered
  investment adviser under Section 203 of the Investment Advisers Act of 1940.
  As a result of its role as investment adviser Oppenheimer Capital may be
  deemed to be the beneficial owner of the securities of the Issuer. Oppenheimer
  Capital has the sole power to dispose of the shares and to vote the shares
  under its written guidelines established by its Management Board.

Item 5     Ownership of Five Percent or Less of a Class:
           --------------------------------------------

           If this statement is being filed to report the fact that as of the
     date hereof the reporting person has ceased to be the beneficial owner of
     more than five percent of the class of securities, check the following [X].

Item 6     Ownership of More than Five Percent on Behalf of Another Person:
           ---------------------------------------------------------------

           Not applicable.

Item 7     Identification and Clarification of the Subsidiary Which Acquired the
           ---------------------------------------------------------------------
           Security Being Reported on By the Parent Holding Company.
           --------------------------------------------------------

           Not Applicable.

Item 8     Identification and Clarification of Members of the Group.
           --------------------------------------------------------

           Not applicable.

Item 9     Notice of Dissolution of Group.
           ------------------------------

           Not Applicable.

                                       4


Item 10    Certification.
           -------------

           By signing below I certify that, to the best of my knowledge and
      belief, the securities referred to above were acquired in the ordinary
      course of business and were not acquired for the purpose of and do not
      have the effect of changing or influencing the control of the issuer of
      the securities and were not acquired and are not held in connection with
      or as a participant in any transaction having that purpose or effect.

                                   SIGNATURE
                                   ---------

       After reasonable inquiry and to the best of my knowledge and belief, I
  certify that the information set forth in this statement is true, complete and
  correct.


                                             DATE: February 12, 2001


                                                    /s/ FRANK C. POLI
                                                    --------------------------
                                                    Senior Vice President
                                                    --------------------------


                                       5